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The Lincoln High School basketball team has played 15 games so far this season, with a points scored to points allowed ratio of 4:3. If they scored a total of 720 points in these games, how many points did they allow their opponents to score? To find the number of points allowed, we'll set up a proportion based on the...
Tomás and his friends are planning a trip from Mexico City to Cancun. They can take a bus that costs 800 pesos per person for a one-way ticket or 1,200 pesos per person for a round-trip ticket. If they plan to return to Mexico City after 5 days, what is the total cost for 4 people to take the bus, considering the cheap...
Anaís, a student at a school in Mexico City, is tasked with designing a rectangular garden in the schoolyard. The garden needs to have an area of 48 square meters and a length that is 3 meters more than its width. What should be the dimensions of the garden? Let's solve this step by step: 1. Define variables: Let w be...
Luis, a Mexican birdwatcher, observes 15 birds in the morning and 20 birds in the afternoon in a forest near his home. If he visits the forest for 5 days, how many birds does Luis observe in total? Let's solve this step by step: 1. First, calculate the total number of birds Luis observes in a day: 15 + 20 = <<15+2...
Tomiko is planning a school festival and wants to make a traditional Japanese drink, Mugicha, for the students. The recipe requires a ratio of 3 parts water to 2 parts roasted barley tea. If Tomiko has 6 liters of water and 4 liters of roasted barley tea, how many batches of Mugicha can she make if each batch requires ...
Tom's family is making a traditional Canadian butter tarts recipe for a bake sale in Toronto. The recipe calls for a ratio of 2:3 of sugar to flour. If they need 2 1/4 cups of sugar, how many cups of flour should they use to maintain the correct proportion? Let's solve this step by step: 1. Convert the mixed number 2 ...
Maria is planning a family dinner for 12 people and wants to make her famous lasagna recipe, which serves 8 people. The recipe requires 2 cups of tomato sauce, 1 cup of ricotta cheese, and 1/2 cup of grated Parmesan cheese. If Maria wants to make 1.5 times the original recipe to ensure everyone gets a second serving, h...
Kofi is on a 3-day safari trip in the Serengeti. On the first day, he sees 15 elephants, on the second day he sees 20 elephants, and on the third day, he sees 12 elephants. What is the average number of elephants Kofi sees per day during his trip? Let's calculate the average number of elephants Kofi sees per day: 1. F...
Tom, an experienced hiker, is planning to tackle the challenging Mount Rainier summit trail in Washington State. The trail has an elevation gain of 4,500 meters over a distance of 17 kilometers. If Tom has already hiked 3.5 kilometers and gained 900 meters in elevation, what proportion of the total elevation gain has h...
Tommaso is planning a New Year's Eve party in Rome and wants to minimize the total cost of decorations and music. He can choose between two decoration options: a basic package for €200 or a premium package for €500. The basic package requires 2 hours of setup time, while the premium package requires 4 hours. Tommaso ha...
Aisha is preparing fufu for the upcoming Sauti za Busara festival in Tanzania. She needs to mix 3/4 cup of cassava flour with 1/4 cup of corn flour. If she wants to make 2 batches of fufu, how many cups of cassava flour will she need in total? 1. Calculate the amount of cassava flour needed for 1 batch: 3/4 cup = 0...
Tyler, a high school basketball player, has made 75 successful free throws out of 100 attempts in his games this season. If he attempts 25 more free throws in his next game, how many more successful free throws does he need to maintain his current ratio of successful free throws to total attempts? Step 1: Calculate th...
Ana's family is planning a quinceañera celebration for her sister. They have a budget of 15,000 pesos for food, decorations, and music. Each guest will cost 500 pesos for food and drinks. The family wants to spend at least 3,000 pesos on decorations and 2,000 pesos on music. How many guests can they invite to maximize ...
Kofi, a Ghanaian teenager, wants to buy gifts for his family members during the Akwasidae festival. He has a budget of 500 Ghanaian cedis (GHS) and wants to buy a gift that costs 120 GHS for his mother, 80 GHS for his father, and 60 GHS for his younger brother. How much money will Kofi have left after buying the gifts?...
A school cafeteria has 50 kg of pasta and 30 kg of vegetables available to prepare meals for the students. They want to prepare two types of meals: pasta and salads. Each pasta meal requires 0.5 kg of pasta and 0.2 kg of vegetables, while each salad meal requires 0.2 kg of vegetables. How many meals of each type should...
Akua, a Ghanaian gardener, has 500 seeds for a traditional African herb. The seeds decay at a rate of 20% per week. How many seeds will Akua have left after 5 weeks? Let's solve this step by step: 1. Calculate the number of seeds left after the first week: 20% of 500 = <<0.2*500=100>>100 seeds decay 500 - 100 ...
Tommy wants to make spring rolls for his family's Lunar New Year celebration. He has 240 grams of vegetable filling and 120 grams of shrimp filling. Each spring roll requires 8 grams of vegetable filling and 4 grams of shrimp filling. How many spring rolls can Tommy make with the ingredients he has? To find the number...
The Patel family is planning a road trip from Toronto to Vancouver. They want to share some snacks equally among themselves. If they have 3 bags of maple syrup cookies, and each bag contains 12 cookies, how many cookies will each family member get if there are 6 people in the family? Let's solve this step by step: 1. ...
Mei-Ling is creating a traditional Japanese origami design that requires a specific ratio of colored paper to white paper. If she needs 30% of the paper to be colored and she has 120 square inches of white paper, how many square inches of colored paper will she need to complete the design? To find the amount of colore...
Ana wants to spend 5 days in Cancun for spring break. She has a budget of 15,000 pesos for transportation, accommodation, and activities. A round-trip bus ticket costs 2,000 pesos, while a round-trip flight costs 5,000 pesos. She can stay in a hostel for 800 pesos per night or in an Airbnb for 1,200 pesos per night. An...
Kofi, a Ghanaian sprinter, is training for the African Games. He wants to improve his 400-meter dash time by 2 seconds each week. If his current time is 52 seconds, how many weeks will it take him to reach his goal of a 46-second dash time, assuming his improvement is constant each week? Let's solve this step by step:...
The Toronto Maple Leafs' fan base is growing exponentially, with a 10% increase in fans every month. If there are currently 10,000 fans, how many fans will there be in 6 months? 1. First, convert the growth rate to a decimal: 10% = 0.10 2. Then, calculate the number of fans after 6 months using the exponential grow...
Ana's family is preparing for the Day of the Dead celebrations. They need to buy several items: marigolds ($15 per bunch), candles ($8 per dozen), and sugar skulls ($2 each). If they buy 3 bunches of marigolds, 2 dozen candles, and 12 sugar skulls, how much will they spend in total? Let's break down the costs: 1. Cost...
Tom wants to buy a new video game that costs $60. He has a 10% discount coupon. How much will he pay for the game after applying the discount? Let's solve this step by step: 1. Calculate the discount amount: Discount amount = (10 / 100) * 60 = <<10/100*60=6>>6 2. Calculate the price after the discount: Price a...
Akua is planning a large family gathering to celebrate her grandmother's 60th birthday in Accra, Ghana. She wants to serve jollof rice, a traditional West African dish, to all the guests. Her favorite recipe for jollof rice serves 8 people and requires 2 cups of uncooked rice, 4 cups of water, 1 cup of tomato puree, an...
In a Canadian wildlife reserve, a group of beavers are building a dam. They need to collect a certain number of sticks to complete the dam. If they already have 15 sticks and can collect 2 more sticks per hour, how many hours will it take them to collect a total of 25 sticks? Let's solve this step by step: 1. Calculat...
A wildlife sanctuary in British Columbia cares for orphaned bear cubs. A certain bear cub needs 3/4 cup of milk formula for each meal, and it eats 3 meals a day. If the sanctuary has a 6-cup container of milk formula, how many days will it last for this bear cub? Let's solve this step by step: 1. Calculate the amount ...
Tom's Taco Truck is preparing for the annual school fair. Tom has a secret taco seasoning mix that requires a ratio of 3 parts chili powder to 2 parts cumin to 1 part paprika. If he wants to make 48 batches of the mix and each batch makes 5 servings, but he only has 3 jars of chili powder (each containing enough for 16...
The Garcias are planning a family reunion at a local park. They have rented a large picnic shelter that can accommodate up to 80 people. The family consists of adults and children. The cost for adults is $15 per person, and for children (under 12), it's $8 per person. However, they also need to rent tables and chairs, ...
During the African Schools Soccer Championship, the striker, Kwame, scored 15 goals in the first 5 matches and 20 goals in the next 5 matches. What is the percentage increase in the number of goals Kwame scored in the second set of matches compared to the first set? Let's solve this step by step: 1. Calculate the diff...
In Yellowstone National Park, the population of gray wolves is growing exponentially. If there were 50 wolves in 2010 and the population has been growing at an annual rate of 15%, how many wolves will there be in 2020? Let's solve this step by step: 1. Convert the growth rate from percentage to decimal: 15% = 0.15...
Anaís is preparing for the Day of the Dead celebration and wants to buy marigolds in bulk. A vendor at the market offers a 15% discount for buying 20 or more marigolds. If each marigold costs 50 pesos, how much will Anaís pay in total for 25 marigolds? Let's calculate the total cost of 25 marigolds: Total cost = Numbe...
Tomás is traveling by train from Paris to Rome. On his map, the distance between the two cities is 15 centimeters. The map scale is 1 centimeter to 50 kilometers. How many kilometers will Tomás travel from Paris to Rome? Let's solve this step by step: 1. Identify the given information: - Map distance = 15 centimet...
Fatima's school in Lagos, Nigeria, is planning a cultural festival. They have collected data on the number of students interested in participating in different activities: 25 students for the traditional dance, 30 students for the drumming session, and 20 students for the art exhibition. If each activity requires 2 tea...
Tomiko is planning a hike on Mount Fuji and wants to maximize the distance she can cover in 8 hours. The trail has two sections: the first section is more challenging and requires 30 minutes per kilometer, while the second section is easier and takes 20 minutes per kilometer. However, to access the second section, she ...
The Green Bay Packers have been improving their game, with their points scored per game growing exponentially over the past few seasons. If they scored an average of 20 points per game last season and their performance is expected to grow by 12% each season, how many points per game can they expect to score in 3 season...
Maya wants to make a triple batch of her favorite chocolate chip cookies for a bake sale. The original recipe calls for a ratio of 2:3 of white sugar to brown sugar. If the original recipe requires 2 cups of white sugar, how many cups of brown sugar will Maya need for her triple batch? Let's solve this step by step: 1...
A chef is preparing a traditional Asian dish that requires exactly 5 liters of ingredients. She has a cylindrical cooking vessel with an inner diameter of 25 cm. What should be the height of the vessel in centimeters? First, find the radius of the cylinder: radius = diameter / 2 = 25 / 2 = <<25 / 2 = 12.5>>cm. Next, c...
Maria is making tamales for a family gathering. She needs to package them in boxes that hold 4 rows of tamales, with each row containing 2 more tamales than the row above it. If the top row has 5 tamales, how many tamales will Maria need in total for 4 boxes? Let's solve this step by step: 1. Calculate the number of t...
While hiking through a European forest, Maria noticed the rapid growth of a specific wildflower species along the trails. If the number of wildflowers doubles every 3 weeks and there were initially 25 flowers along a particular stretch of trail, how many wildflowers can Maria expect to see along that same stretch after...
Tomori is a safari guide in the Maasai Mara National Reserve in Kenya. He has been tracking the movements of lions and leopards in the reserve for several months. Based on his observations, he estimates that the probability of spotting a lion on a given day is 0.4, and the probability of spotting a leopard is 0.2. What...
Mei is making traditional niangao (sticky rice cake) for Chinese New Year. The recipe requires 3/4 cup of glutinous rice flour. If Mei only has a 1/4 cup measuring cup, how many times will she need to fill the measuring cup to get the required amount of flour? Let's solve this step by step: 1. Divide the required amou...
It's Canada Day and the town of Maple Ridge is hosting a big celebration. The organizers want to serve a traditional Canadian dish, poutine, to the attendees. They have two recipes, one that serves 12 people and another that serves 18 people. The recipe that serves 12 people requires 3/4 cup of cheese curds, 2/3 cup of...
Lena, a resident of Paris, is planning a trip to Rome in three years. She opens a savings account with a 4% annual interest rate, compounded annually. If she starts with €1,000 and adds €200 at the end of each year, how much money will she have for her trip after three years? Let's solve this step by step: 1. First, c...
Tom wants to buy Christmas gifts for his family members. He has a list of 5 people to buy gifts for: his mom, dad, brother, sister, and grandma. The gifts he wants to buy are: - A $50 sweater for his mom - A $30 book for his dad - A $40 video game for his brother - A $20 toy for his sister - A $60 kitchen appliance for...
A Christmas tree farm in Ontario is offering a 20% discount on all trees for customers who buy 3 or more trees, but there is also a 13% sales tax. The farm has two types of trees: fir trees that originally cost $120 and spruce trees that originally cost $90. If a customer buys 4 fir trees and 1 spruce tree, how much wi...
Maya is planning a trip to Hawaii and finds a discounted flight from Los Angeles to Honolulu. The original price of the ticket is $800, but the airline is offering a 15% discount. How much will Maya pay for the ticket? 1. Calculate the discount amount: Discount = 15% of $800 Discount = 0.15 x 800 = <<0.15 * 80...
Maya's local grocery store has a loyalty program that rewards customers with points for every purchase. For every dollar spent, customers earn 2 points. The points are doubled for every 5 purchases made within a month. If Maya spends $10 on her first purchase, how many points will she earn after 10 purchases, assuming ...
Ming-Ling is competing in the Asian Games gymnastics competition. Her score on the balance beam is calculated based on two routines: a required routine and a freestyle routine. For the required routine, she receives a score of 9.5 with a 0.25 deduction for a slight wobble. For the freestyle routine, she receives a scor...
Maya, a point guard on her school basketball team, made 15 out of 20 free throws in the last game. What percentage of free throws did Maya make? Let's solve this step by step: 1. Divide the number of successful free throws by the total number of free throws: 15 ÷ 20 = <<15/20=0.75>>0.75. 2. Multiply by 100 to convert ...
Akua is creating an adinkra design using a combination of circular and square shapes. She wants the ratio of circles to squares to be 3:5. If she uses 15 squares in her design, how many circles should she include to maintain the desired ratio? To find the number of circles Akua should include, we can set up a proporti...
Tomás plays soccer for his school team in Barcelona. In the last 5 games, the team scored 3, 2, 5, 1, and 4 goals respectively. If the team scored an average of 3 goals per game in the entire season, how many goals did they score in the 6th game? 1. Calculate the total number of goals scored in the first 5 games: 3...
In the Maasai Mara National Reserve in Kenya, the ratio of giraffes to elephants is 3:5. If there are 120 elephants in the reserve, how many giraffes are there? Let's solve this step by step: 1. Determine the multiplier by dividing the number of elephants by the elephant part of the ratio: 120 / 5 = <<120/5=24>>24 ...
Mei-Ling wants to buy a new smartphone that costs $800. She opens a savings account that earns a 5% annual interest rate, compounded annually. If she deposits $500 initially and adds $50 every month, how many months will it take for her to have enough money to buy the smartphone? Let's break this down step by step: 1....
Akua is creating a traditional African textile design using a repeating pattern of kente cloth strips. She starts with 4 strips on the first day and triples the number of strips each subsequent day. How many strips will Akua have on the fifth day? Let's solve this step by step: 1. Day 1: Akua starts with 4 strips. 2. ...
In a bamboo forest in China, a panda reserve is being built. The main enclosure is a rectangular area that needs to be fenced. If the length of the enclosure is 15 meters more than its width, and the total perimeter of the enclosure is 102 meters, what is the area of the enclosure in square meters? Let's solve this st...
Tommy, a grade 8 student from Toronto, wants to save money for a school trip to Vancouver in 3 years. He deposits $2000 into a savings account that earns a 3% annual interest rate compounded semi-annually. How much will Tommy have in his account after 3 years? Let's calculate the future value step by step: First, calc...
Emily is planning a hike in the Canadian Rockies. She knows the trail is 12 kilometers long and expects to hike at an average speed of 4 kilometers per hour. If she starts hiking at 9 AM, what time can she expect to finish the hike? Let's solve this step by step: 1. Calculate the time it will take Emily to complete th...
Yuna, a professional cyclist from South Korea, is training for the Asian Cycling Championship. Her goal is to cover the 120 km race in under 4 hours. To achieve this, she plans to maintain an average speed of 30 km/h for the first 60 km, which includes hilly terrain, and then increase her speed for the remaining 60 km,...
Ana is making empanadas for her family's celebration of the Day of the Dead. Her recipe makes 12 empanadas and uses 3/4 cup of masa harina. If she wants to make 24 empanadas, how much masa harina will she need? To find the amount of masa harina needed for 24 empanadas, we can set up a proportion: 12 empanadas / (3/4 c...
Mei-Ling is planning a trip from Tokyo to Bangkok for the Songkran water festival. She books a flight and hotel package that initially costs ¥250,000. The travel agency offers a 15% discount for early bookings, and then an additional 8% discount for customers who pay in full upfront. How much will Mei-Ling pay in total...
The Smith family is considering two different cell phone plans: Plan A costs $60 per month for 2 lines, with an additional $20 per line for each additional family member, while Plan B costs $80 per month for 3 lines, with an additional $15 per line for each additional family member. If the Smith family has 5 members, w...
The question is: A school in Ghana is planning a cultural festival. They need to decide how many traditional crafts and food stalls to set up. Each craft stall requires 3 hours to set up and will generate 500 GHS in revenue. Each food stall requires 2 hours to set up and will generate 800 GHS in revenue. However, there...
Ana's food stand at the Day of the Dead celebration in Oaxaca offers three traditional dishes: tamales, pan de muerto, and hot chocolate. The probability of selling tamales to a customer is 0.4, pan de muerto is 0.3, and hot chocolate is 0.3. Each tamale costs 20 pesos to make and sells for 50 pesos, each pan de muerto...
Mei wants to buy a new bike that costs $120. She opens a savings account that earns a 5% annual interest rate, compounded annually. If Mei deposits $100 into the account now, how much more money will she need to add at the end of the year to have enough to buy the bike? Let's solve this step by step: 1. Calculate the ...
Maria is making tamales for a large family gathering. She has a recipe that makes 24 tamales, but she needs to make 48 tamales for the party. If the recipe calls for 3 cups of masa harina and 2 cups of chicken broth, how many cups of each ingredient will Maria need to make 48 tamales? Let's solve this step by step: 1....
Akon, a professional soccer player from Ghana, wins a prize of $100,000 in a major tournament. He decides to invest the money in a savings account with an annual interest rate of 5% compounded annually. After 5 years, Akon wants to withdraw $50,000 to buy a new house. How much money will Akon have left in his account a...
Tom is planning a road trip from New York to Los Angeles, visiting the Grand Canyon, Mount Rushmore, and the Golden Gate Bridge along the way. If the coordinates of these landmarks are (40.7128° N, 74.0060° W), (36.1069° N, 112.1129° W), (43.8791° N, 103.4591° W), and (37.7749° N, 122.4194° W) respectively, what is the...
Tomás is planning a school trip to Paris and wants to calculate the cost of the bus rental. The company charges a base fee of €200 plus an additional €5 per student. If there are x students going on the trip, the total cost can be represented by the polynomial equation C = 200 + 5x. If the school has a budget of €800 f...
Aisha is traveling from Cairo International Airport to the Pyramids of Giza. She has three transportation options: a taxi that costs 150 Egyptian pounds and takes 1 hour, a bus that costs 50 Egyptian pounds and takes 2 hours, or a private car service that costs 300 Egyptian pounds and takes 30 minutes. If Aisha wants t...
In a European wildlife reserve, the population of a certain bird species is modeled by the polynomial function P(x) = 2x^3 - 5x^2 + x + 100, where x is the number of years since conservation efforts began. If the reserve's goal is to have a population of 500 birds, and the growth rate is affected by the availability of...
During Chinese New Year, Emma's family gives out red envelopes containing money to the children. There are 20 envelopes in total, with 5 containing $5, 8 containing $10, 4 containing $20, and 3 containing $50. If Emma picks 2 envelopes at random, what is the probability that she will get a total of $20 or more? First,...
Tomás wants to make a traditional Spanish paella for his family dinner. The recipe serves 4 people and requires 250g of rice, 500g of chicken, and 200g of vegetables. If Tomás needs to serve 6 people, and the ingredients cost €1.50 per 100g of rice, €3.00 per 200g of chicken, and €1.00 per 100g of vegetables, what will...
In the Sierra Madre mountains of Mexico, a nature reserve is home to a population of quetzals and axolotls. If the ratio of quetzals to axolotls is 5:7, and there are 35 axolotls in the reserve, how many quetzals are there? Let's solve this step by step: 1. We are given the ratio of quetzals to axolotls as 5:7 and the...
Tom and his friends are planning a 3-day hike in the Grand Canyon. They want to make sure they have enough energy bars to last the entire trip. If they need 2 energy bars per person per day, and they have 18 energy bars, how many people can they invite on the trip? Let's solve this step by step: 1. Calculate the total...
Ming is planning to make a traditional Asian dish for her family's Lunar New Year celebration. The recipe requires a ratio of 3:5 of rice to vegetables. If she wants to serve 18 people and each serving requires 1/2 cup of rice, how many cups of vegetables will she need to buy? Let's solve this step-by-step: 1. Calcula...
Emma is working on a painting project and wants to increase the size of her artwork by 25%. If the original size of the painting is 80 square inches, what will be the new size of the painting after the increase? 1. First, calculate 25% of the original size of the painting: 25% of 80 square inches = <<25/100 * 80 = ...
Mei and her friends are going on a hike in the Japanese forest. They want to explore a rectangular trail that is 5 kilometers long and 2 kilometers wide. What is the perimeter of the trail they will be hiking on? Let's solve this step by step: 1. Identify the formula for the perimeter of a rectangle: P = 2(length ...
Akua is making fufu for her family's dinner. She needs to triple the recipe, which calls for 2 cups of cassava flour and 1 cup of water. If she only has a 1/4 cup measuring cup, how many times will she need to fill the measuring cup with cassava flour to have enough for the tripled recipe? Let's solve this step by ste...
Lupita is a skilled potter from Oaxaca, Mexico, known for her beautiful clay pots. However, due to the nature of her craft, she has a 5% chance of making a pot with a small defect. If Lupita makes a batch of 20 pots, what's the probability of her having exactly 2 defective pots in the batch? Let's solve this step by s...
Maya is designing a triangular garden bed with a specific ratio of sides. She wants the ratio of the sides to be 3:4:5, and she knows that the length of the shortest side is 6 meters. What is the length of the longest side of the triangle? Let's solve this step by step: 1. Set up the proportion: 3x : 4x : 5x 2. We kno...
Tomás is shopping for clothes at a department store in Mexico City. He buys a shirt for 250 pesos and a pair of pants for 350 pesos. The store is having a sale, offering a 15% discount on all clothing items. How much will Tomás pay in total after the discount is applied? Let's solve this step by step: 1. First, calcul...
La Fiesta de la Suerte" is a popular game at the school fair. Players spin a wheel with 16 sections, each with a different prize. There are 4 sections with a picture of a taco, 4 sections with a picture of a sombrero, 4 sections with a picture of a piñata, and 4 sections with a picture of a chili pepper. If you spin th...
Tom's school is planning a trip to Banff National Park in Alberta, Canada. The bus rental company charges a base fee of $200 plus an additional $5 per student. If the total cost of the bus rental is $350, how many students are going on the trip? To find the number of students going on the trip, let's solve the equatio...
Tomás is planning a road trip from Paris to Rome. His car's fuel tank can hold 60 liters of petrol. If he has already filled 3/4 of the tank, how many more liters of petrol can he add? Let's break this down step by step: 1. Calculate the amount of petrol already in the tank: 3/4 of 60 liters = <<3/4 * 60 = 45>> li...
At the annual Cherry Blossom Festival at her school in Tokyo, Yuna is in charge of distributing traditional Japanese sweets to the attendees. She has 3/4 of a box of mochi left after the morning rush. If the entire box contains 120 pieces of mochi, how many pieces does Yuna have left to distribute in the afternoon? Le...
Kofi is a park ranger who loves to hike in his free time. On his latest hike, he travels 3 kilometers in the first hour, 5 kilometers in the second hour, and then increases his speed by 2 kilometers per hour for each subsequent hour. If Kofi hikes for a total of 6 hours, what is the total distance he travels? Let's so...
The Wong family is planning a trip to visit their relatives in Tokyo, Japan. They have a budget of $5000 for flights, accommodation, and food. The cost of flights from their hometown to Tokyo is $2000. They have two options for accommodation: a hotel that costs $150 per night or a hostel that costs $80 per night. Howev...
Lena is organizing the sale of tickets for the annual school play in Berlin. The cost of each adult ticket can be represented by the polynomial 2x + 5 euros, where x is the number of acts in the play. The cost of each student ticket is x + 2 euros. If there are 3 acts in the play, and Lena sells 5 adult tickets and 10 ...
Akua is preparing jollof rice for her village's harvest festival. Her recipe serves 8 people and requires 2 cups of uncooked rice and 4 cups of water. If she needs to cook for 12 people, how many cups of water should she use? To find the amount of water needed, we can use the concept of proportions. 1. Set up the pro...
Tomás is the coach of a Mexican youth soccer team. In the current season, his team has won 12 games and lost 4. If they score an average of 3 goals per game and allow an average of 2 goals per game, what is the ratio of their total goals scored to total goals allowed? Let's solve this step by step: 1. Calculate the to...
Tommy is shopping for a new video game that originally costs $60. The store offers a 15% discount on all video games. After applying this discount, Tommy finds a coupon for an additional 10% off the already discounted price. How much will Tommy pay for the video game after both discounts are applied? Let's solve this ...
Maria, a gardener in a small village in France, plants 20 sunflower seeds in her garden. The number of sunflowers doubles every 5 days. How many sunflowers will Maria have after 20 days? Let's solve this step by step: 1. The initial number of sunflowers is 20. 2. After the first doubling (5 days), the number of sunflo...
Ana is planning for the Day of the Dead festivities and wants to make traditional pan de muerto for her family gathering. The recipe for one loaf requires 2 cups of flour, and she has a 10-pound bag of flour. If 1 pound of flour is equivalent to 4 cups, how many loaves of pan de muerto can Ana make with the flour she h...
Tomori wants to buy some traditional dashiki shirts at a local market in Accra, Ghana. Each shirt costs 25 Ghanaian cedis. If Tomori has a budget of 150 Ghanaian cedis, how many shirts can he buy if he also wants to spend no more than 30 Ghanaian cedis on a pair of matching pants? Let's solve this step by step: 1. Cal...
Anaís, a skilled Mexican artisan, creates traditional pottery pieces in her workshop. She wants to produce a set of intricately designed vases with different sizes and proportions. The largest vase has a height of 24 inches and a diameter of 12 inches. Anaís wants to create a smaller version of the vase with a height t...
Maya is cooking a turkey for her family's Thanksgiving dinner. The recipe she's using calls for a 12-pound turkey, but the one she bought is 15 pounds. If the recipe recommends cooking the turkey for 20 minutes per pound, how many minutes longer will Maya need to cook her 15-pound turkey compared to the 12-pound turkey...
Chef François is preparing Beef Bourguignon for a dinner party. The original recipe serves 8 people and requires a ratio of 3 parts beef to 2 parts vegetables to 4 parts broth. If Chef François wants to serve 12 people, how many kilograms of beef, vegetables, and broth will he need if the original recipe calls for 1.5 ...
The students of Li Ming Middle School in Beijing are hosting a Chinese New Year fundraiser by selling traditional niangao (sticky rice cakes) and hongbao (red envelopes). They buy niangao for 5 CNY each and sell them for 8 CNY. After selling 300 niangao, they have a total of 2100 CNY. However, they spent 200 CNY on dec...
Tom, a park ranger in Banff National Park, is creating a map of the trails in the area. He wants to make sure that the distances on the map are proportional to the actual distances on the trails. If 5 cm on the map represents 2 km of trail, and he has a maximum of 30 cm of space on the map to represent a particularly l...