id int64 1 1M | problem stringlengths 14 193 | answer stringlengths 16 75 | reasoning stringlengths 53 276 | category stringclasses 12
values | difficulty stringclasses 3
values |
|---|---|---|---|---|---|
101 | Compute 68 ÷ 17. | The result is 4. | Step 1: Identify the operation: division.
Step 2: Divide 68 by 17.
Step 3: 68 ÷ 17 = 4. | basic_arithmetic | medium |
102 | Solve the system of equations:
2x + 3y = 9
4x - y = 11 | The solution is x = 3, y = 1. | Step 1: From second equation: y = 4x - 11.
Step 2: Substitute into first: 2x + 3(4x - 11) = 9.
Step 3: Simplify: 2x + 12x - 33 = 9 → 14x = 42.
Step 4: Solve for x: x = 3.
Step 5: Substitute back: y = 4(3) - 11 = 1. | algebra | medium |
103 | Travis Rodriguez has some apples. If 5 times the number of apples equals 140, how many apples does Travis Rodriguez have? | The original number is 28. | Step 1: Let the unknown number be x.
Step 2: According to the problem: x × 5 = 140.
Step 3: Divide both sides by 5: x = 140 ÷ 5 = 28. | algebra | easy |
104 | During a clearance sale, chair is discounted by 33%. Original price was $46.74. What's the new price? | The new price after 33% discount is $31.32. | Step 1: Original price is $46.74.
Step 2: Discount is 33%.
Step 3: Calculate discount amount: $46.74 × 0.33 = $15.42.
Step 4: Subtract discount from original price: $46.74 - $15.42 = $31.32. | shopping | easy |
105 | 81 increased by 5% equals what? | The result is 85.05. | Step 1: Original value = 81.
Step 2: Increase percentage = 5%.
Step 3: Increase amount = 81 × 0.05 = 4.05.
Step 4: New value = original + increase = 81 + 4.05 = 85.05. | percentage | hard |
106 | Amelie मिस्त्री traveled from Williamview to Benjaminborough at 89 km/h for 1 hours. What distance was covered? | The distance covered is 89 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 89 km/h, time = 1 hours.
Step 3: Distance = 89 × 1 = 89 km. | distance_speed | hard |
107 | A train covers 291 km from South April to New Danielleshire in 2 hours. What is its average speed? | The average speed is 145.5 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 291 km, time = 2 hours.
Step 3: Speed = 291 ÷ 2 = 145.5 km/h. | distance_speed | medium |
108 | A triangle has base 28 cm and height 9 cm. Calculate its area. | The area is 126.0 cm². | Step 1: Formula for area of triangle = ½ × base × height.
Step 2: Base = 28 cm, height = 9 cm.
Step 3: Area = ½ × 28 × 9 = 126.0 cm². | geometry | hard |
109 | A triangle has base 8 cm and height 11 cm. Calculate its area. | The area is 44.0 cm². | Step 1: Formula for area of triangle = ½ × base × height.
Step 2: Base = 8 cm, height = 11 cm.
Step 3: Area = ½ × 8 × 11 = 44.0 cm². | geometry | medium |
110 | A bread costs $86.66. If Bilal Leblanc buys 7 of them, what is the total price? | Bilal Leblanc spent $131.87 in total. | Step 1: Identify the items and their prices: chair costs $86.66, computer costs $45.21.
Step 2: Add the prices to find the total.
Step 3: $86.66 + $45.21 = $131.87. | shopping | medium |
111 | A milk costs $32.50. If Елена Klapp buys 4 of them, what is the total price? | Елена Klapp spent $80.32 in total. | Step 1: Identify the items and their prices: milk costs $32.50, apple costs $47.82.
Step 2: Add the prices to find the total.
Step 3: $32.50 + $47.82 = $80.32. | shopping | easy |
112 | Clara Regnier traveled from Lake Curtis to West Jessicashire at 82 km/h for 2 hours. What distance was covered? | The distance covered is 164 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 82 km/h, time = 2 hours.
Step 3: Distance = 82 × 2 = 164 km. | distance_speed | easy |
113 | A phone costs $63.05. If José Pedro Сафонова buys 2 of them, what is the total price? | José Pedro Сафонова spent $151.91 in total. | Step 1: Identify the items and their prices: milk costs $63.05, bread costs $88.86.
Step 2: Add the prices to find the total.
Step 3: $63.05 + $88.86 = $151.91. | shopping | easy |
114 | A cylinder has radius 3 cm and height 6 cm. What is its volume? (Use π = 3.14) | The volume is 169.56 cm³. | Step 1: Formula for volume of cylinder = π × radius² × height.
Step 2: Radius = 3 cm, height = 6 cm, π = 3.14.
Step 3: Volume = 3.14 × 3² × 6 = 3.14 × 9 × 6 = 169.56 cm³. | volume | medium |
115 | If a train journey takes 4 hours and 10 minutes, and another takes 3 hours and 57 minutes, what is the total travel time? | The total travel time is 8 hours and 7 minutes. | Step 1: First journey: 4h 10min.
Step 2: Second journey: 3h 57min.
Step 3: Add hours: 4 + 3 = 7 hours.
Step 4: Add minutes: 10 + 57 = 67 minutes.
Step 5: Convert excess minutes to hours: 67 minutes = 7 minutes with 1 hour(s) to add.
Step 6: Total: 8 hours and 7 minutes. | time_logic | easy |
116 | Емельян Zirme is 16 years old. In 20 years, how old will she be? | In 3 years, Емельян Zirme will be 19 years old. | Step 1: Current age of Емельян Zirme is 16 years.
Step 2: We want to find age in 3 years.
Step 3: Add 3 to current age: 16 + 3 = 19. | age | medium |
117 | What is 609 - 598? | The result is 11. | Step 1: Identify the operation: subtraction.
Step 2: Subtract 598 from 609.
Step 3: 609 - 598 = 11. | basic_arithmetic | easy |
118 | A cube has sides of 9 cm. What is its volume? | The volume is 729 cm³. | Step 1: Formula for volume of cube = side³.
Step 2: Side = 9 cm.
Step 3: Volume = 9³ = 9 × 9 × 9 = 729 cm³. | volume | medium |
119 | A rectangular prism has dimensions 4cm × 10cm × 8cm. What is its volume? | The volume is 320 cm³. | Step 1: Formula for volume of rectangular prism = length × width × height.
Step 2: Length = 4 cm, width = 10 cm, height = 8 cm.
Step 3: Volume = 4 × 10 × 8 = 320 cm³. | volume | hard |
120 | A recipe requires 3/4 cup of flour. For 5 batches, how much flour is needed? | 1.50 cups of flour are needed. | Step 1: One batch requires 3/4 cup of flour.
Step 2: We need 2 batches.
Step 3: Multiply 3/4 by 2: (3 × 2) / 4 = 1.50. | fraction | medium |
121 | Hatem 韩 is 21 years old. शक्ति Lindh is 13 years old. What is the sum of their ages? | The sum of their ages is 34 years. | Step 1: Hatem 韩 is 21 years old.
Step 2: शक्ति Lindh is 13 years old.
Step 3: Add their ages: 21 + 13 = 34. | age | medium |
122 | Calculate 48 × 6. | The result is 288. | Step 1: Identify the operation: multiplication.
Step 2: Multiply 48 by 6.
Step 3: 48 × 6 = 288. | basic_arithmetic | medium |
123 | At the market, Müveddet Maxwell purchased bread at $50.68 each and bought 9 of them. What was the total cost? | Müveddet Maxwell spent $78.66 in total. | Step 1: Identify the items and their prices: bread costs $50.68, chair costs $27.98.
Step 2: Add the prices to find the total.
Step 3: $50.68 + $27.98 = $78.66. | shopping | hard |
124 | داني 윤 bought milk for $37.21 and chair for $79.28. How much did he spend in total? | داني 윤 spent $116.49 in total. | Step 1: Identify the items and their prices: milk costs $37.21, chair costs $79.28.
Step 2: Add the prices to find the total.
Step 3: $37.21 + $79.28 = $116.49. | shopping | medium |
125 | During a summer sale, chair is discounted by 30%. Original price was $47.68. What's the new price? | The new price after 30% discount is $33.38. | Step 1: Original price is $47.68.
Step 2: Discount is 30%.
Step 3: Calculate discount amount: $47.68 × 0.3 = $14.30.
Step 4: Subtract discount from original price: $47.68 - $14.30 = $33.38. | shopping | hard |
126 | Honoré Kielczyk traveled from East Carrie to Jasonfort at 79 km/h for 4 hours. What distance was covered? | The distance covered is 316 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 79 km/h, time = 4 hours.
Step 3: Distance = 79 × 4 = 316 km. | distance_speed | medium |
127 | What is the value of x in 8x + 20 = 14? | The solution is x = -0.75. | Step 1: Start with equation: 8x + 20 = 14.
Step 2: Subtract 20 from both sides: 8x = 14 - 20 = -6.
Step 3: Divide both sides by 8: x = -6 / 8 = -0.75. | algebra | easy |
128 | The ratio of cars to bikes is 3:5. If there are 76 total, how many of each are there? | There are 28 of the first and 48 of the second. | Step 1: Total ratio parts = 3 + 5 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 76 ÷ 8 = 9.50.
Step 3: First part count = 3 × 9.50 = 28.
Step 4: Second part count = 5 × 9.50 = 48. | ratio | easy |
129 | A banana costs $28.31. If Valentina Jungfer buys 5 of them, what is the total price? | Valentina Jungfer spent $125.16 in total. | Step 1: Identify the items and their prices: apple costs $28.31, computer costs $96.85.
Step 2: Add the prices to find the total.
Step 3: $28.31 + $96.85 = $125.16. | shopping | easy |
130 | At the market, Ernst Schmidt purchased shirt at $81.49 each and bought 2 of them. What was the total cost? | Ernst Schmidt spent $105.56 in total. | Step 1: Identify the items and their prices: shirt costs $81.49, toy costs $24.07.
Step 2: Add the prices to find the total.
Step 3: $81.49 + $24.07 = $105.56. | shopping | easy |
131 | A train covers 171 km from Port Dennis to Lake Curtis in 5 hours. What is its average speed? | The average speed is 34.2 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 171 km, time = 5 hours.
Step 3: Speed = 171 ÷ 5 = 34.2 km/h. | distance_speed | medium |
132 | The sum of ages of Elizabeth दासगुप्ता and हरेन्द्र Ruiz is 48. If Elizabeth दासगुप्ता is 37 years old, how old is हरेन्द्र Ruiz? | The sum of their ages is 48 years. | Step 1: Elizabeth दासगुप्ता is 37 years old.
Step 2: हरेन्द्र Ruiz is 11 years old.
Step 3: Add their ages: 37 + 11 = 48. | age | easy |
133 | 745 + 803 equals what? | The result is 1548. | Step 1: Identify the operation: addition.
Step 2: Add 745 and 803.
Step 3: 745 + 803 = 1548. | basic_arithmetic | medium |
134 | Severino van der Berg is 9 years old. José María Fogaça is 13 years older. How old is José María Fogaça? | José María Fogaça is 22 years old. | Step 1: Severino van der Berg is 9 years old.
Step 2: José María Fogaça is 13 years older.
Step 3: Add 13 to 9: 9 + 13 = 22. | age | hard |
135 | Find the result of 26 × 18. | The result is 468. | Step 1: Identify the operation: multiplication.
Step 2: Multiply 26 by 18.
Step 3: 26 × 18 = 468. | basic_arithmetic | medium |
136 | A rectangular pool is 32 m long and 6 m wide. What is its area in square meters? | The area is 192 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 32 cm, width = 6 cm.
Step 3: Area = 32 × 6 = 192 cm². | geometry | hard |
137 | If a meeting starts at 14:45 and lasts 2 hours and 45 minutes, when does it end? | The meeting ends at 17:30. | Step 1: Start time: 14:45 = 885 minutes.
Step 2: Duration: 2h 45min = 165 minutes.
Step 3: End time in minutes: 885 + 165 = 1050 minutes.
Step 4: Convert to hours and minutes: 1050 minutes = 17 hours and 30 minutes.
Step 5: Format: 17:30. | time_logic | medium |
138 | What is the value of x in 6x + 14 = 11? | The solution is x = -0.50. | Step 1: Start with equation: 6x + 14 = 11.
Step 2: Subtract 14 from both sides: 6x = 11 - 14 = -3.
Step 3: Divide both sides by 6: x = -3 / 6 = -0.50. | algebra | medium |
139 | A train covers 116 km from West Elizabeth to East William in 5 hours. What is its average speed? | The average speed is 23.2 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 116 km, time = 5 hours.
Step 3: Speed = 116 ÷ 5 = 23.2 km/h. | distance_speed | easy |
140 | Compute 44 × 5. | The result is 220. | Step 1: Identify the operation: multiplication.
Step 2: Multiply 44 by 5.
Step 3: 44 × 5 = 220. | basic_arithmetic | medium |
141 | A sphere has radius 2 cm. What is its volume? (Use π = 3.14) | The volume is 33.49 cm³. | Step 1: Formula for volume of sphere = (4/3) × π × radius³.
Step 2: Radius = 2 cm, π = 3.14.
Step 3: Volume = (4/3) × 3.14 × 2³ = (4/3) × 3.14 × 8 = 33.49 cm³. | volume | medium |
142 | 24 × 5 equals what? | The result is 120. | Step 1: Identify the operation: multiplication.
Step 2: Multiply 24 by 5.
Step 3: 24 × 5 = 120. | basic_arithmetic | hard |
143 | If Eric Campos gets 22% discount on a $139 item, what's the final price? | The final price is $108.42. | Step 1: Original price = $139.
Step 2: Discount percentage = 22%.
Step 3: Discount amount = 139 × 0.22 = $30.58.
Step 4: Final price = original - discount = $139 - $30.58 = $108.42. | percentage | easy |
144 | A recipe requires 1/2 cup of flour. For 4 batches, how much flour is needed? | 2.00 cups of flour are needed. | Step 1: One batch requires 1/2 cup of flour.
Step 2: We need 4 batches.
Step 3: Multiply 1/2 by 4: (1 × 4) / 2 = 2.00. | fraction | medium |
145 | The sum of ages of Ludovica Никитин and Ivan Timmermans is 47. If Ludovica Никитин is 18 years old, how old is Ivan Timmermans? | The sum of their ages is 47 years. | Step 1: Ludovica Никитин is 18 years old.
Step 2: Ivan Timmermans is 29 years old.
Step 3: Add their ages: 18 + 29 = 47. | age | medium |
146 | Sheila Phillips traveled from Barbaraland to West Kyleborough at 49 km/h for 2 hours. What distance was covered? | The distance covered is 98 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 49 km/h, time = 2 hours.
Step 3: Distance = 49 × 2 = 98 km. | distance_speed | hard |
147 | The sum of ages of César Novais and Максимильян Лукина is 39. If César Novais is 12 years old, how old is Максимильян Лукина? | The sum of their ages is 39 years. | Step 1: César Novais is 12 years old.
Step 2: Максимильян Лукина is 27 years old.
Step 3: Add their ages: 12 + 27 = 39. | age | medium |
148 | A sphere has radius 10 cm. What is its volume? (Use π = 3.14) | The volume is 4186.67 cm³. | Step 1: Formula for volume of sphere = (4/3) × π × radius³.
Step 2: Radius = 10 cm, π = 3.14.
Step 3: Volume = (4/3) × 3.14 × 10³ = (4/3) × 3.14 × 1000 = 4186.67 cm³. | volume | hard |
149 | Leif Giménez ate 2/3 of a pizza. Mariano Paris ate 3/4. How much pizza remains? | -0.42 of the pizza remains. | Step 1: Leif Giménez ate 2/3 of the pizza.
Step 2: Mariano Paris ate 3/4 of the pizza.
Step 3: Total eaten = 2/3 + 3/4 = 1.42.
Step 4: Remaining = 1 - 1.42 = -0.42. | fraction | easy |
150 | A train covers 86 km from Transtad to Haysside in 4 hours. What is its average speed? | The average speed is 21.5 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 86 km, time = 4 hours.
Step 3: Speed = 86 ÷ 4 = 21.5 km/h. | distance_speed | hard |
151 | The sum of ages of İsmet Houston and 直子 Furgał is 35. If İsmet Houston is 23 years old, how old is 直子 Furgał? | The sum of their ages is 35 years. | Step 1: İsmet Houston is 23 years old.
Step 2: 直子 Furgał is 12 years old.
Step 3: Add their ages: 23 + 12 = 35. | age | medium |
152 | Jérôme Jakobsson traveled from West Stacey to Ramseymouth at 85 km/h for 5 hours. What distance was covered? | The distance covered is 425 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 85 km/h, time = 5 hours.
Step 3: Distance = 85 × 5 = 425 km. | distance_speed | medium |
153 | A rectangle has length 30 cm and width 30 cm. What is its area? | The area is 900 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 30 cm, width = 30 cm.
Step 3: Area = 30 × 30 = 900 cm². | geometry | medium |
154 | The ratio of cars to bikes is 3:4. If there are 41 total, how many of each are there? | There are 18 of the first and 23 of the second. | Step 1: Total ratio parts = 3 + 4 = 7.
Step 2: Value of one ratio part = total ÷ total parts = 41 ÷ 7 = 5.86.
Step 3: First part count = 3 × 5.86 = 18.
Step 4: Second part count = 4 × 5.86 = 23. | ratio | easy |
155 | A rectangle has length 38 cm and width 19 cm. What is its area? | The area is 722 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 38 cm, width = 19 cm.
Step 3: Area = 38 × 19 = 722 cm². | geometry | easy |
156 | At the market, Elise İnönü purchased banana at $26.34 each and bought 4 of them. What was the total cost? | Elise İnönü spent $44.52 in total. | Step 1: Identify the items and their prices: banana costs $26.34, shirt costs $18.18.
Step 2: Add the prices to find the total.
Step 3: $26.34 + $18.18 = $44.52. | shopping | medium |
157 | Find the result of 240 ÷ 20. | The result is 12. | Step 1: Identify the operation: division.
Step 2: Divide 240 by 20.
Step 3: 240 ÷ 20 = 12. | basic_arithmetic | easy |
158 | A cylinder has radius 8 cm and height 12 cm. What is its volume? (Use π = 3.14) | The volume is 2411.52 cm³. | Step 1: Formula for volume of cylinder = π × radius² × height.
Step 2: Radius = 8 cm, height = 12 cm, π = 3.14.
Step 3: Volume = 3.14 × 8² × 12 = 3.14 × 64 × 12 = 2411.52 cm³. | volume | hard |
159 | The sum of ages of طيّع Henry and Luke Galenzone is 47. If طيّع Henry is 10 years old, how old is Luke Galenzone? | The sum of their ages is 47 years. | Step 1: طيّع Henry is 10 years old.
Step 2: Luke Galenzone is 37 years old.
Step 3: Add their ages: 10 + 37 = 47. | age | hard |
160 | A rectangle has length 33 cm and width 28 cm. What is its area? | The area is 924 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 33 cm, width = 28 cm.
Step 3: Area = 33 × 28 = 924 cm². | geometry | hard |
161 | A rectangular prism has dimensions 8cm × 10cm × 5cm. What is its volume? | The volume is 400 cm³. | Step 1: Formula for volume of rectangular prism = length × width × height.
Step 2: Length = 8 cm, width = 10 cm, height = 5 cm.
Step 3: Volume = 8 × 10 × 5 = 400 cm³. | volume | easy |
162 | Bianca Рыбакова went shopping with $164.91. After buying milk for $52.88, how much money remains? | He has $112.03 remaining. | Step 1: Bianca Рыбакова started with $164.91.
Step 2: He spent $52.88 on toy.
Step 3: Subtract the spent amount from the initial money: $164.91 - $52.88 = $112.03. | shopping | hard |
163 | Find the result of 809 + 647. | The result is 1456. | Step 1: Identify the operation: addition.
Step 2: Add 809 and 647.
Step 3: 809 + 647 = 1456. | basic_arithmetic | easy |
164 | At the market, Fabiola Barbosa purchased chair at $34.00 each and bought 6 of them. What was the total cost? | Fabiola Barbosa spent $92.69 in total. | Step 1: Identify the items and their prices: chair costs $34.00, book costs $58.69.
Step 2: Add the prices to find the total.
Step 3: $34.00 + $58.69 = $92.69. | shopping | easy |
165 | Compute 318 + 573. | The result is 891. | Step 1: Identify the operation: addition.
Step 2: Add 318 and 573.
Step 3: 318 + 573 = 891. | basic_arithmetic | hard |
166 | 영순 Barral went shopping with $130.44. After buying bread for $51.34, how much money remains? | He has $79.10 remaining. | Step 1: 영순 Barral started with $130.44.
Step 2: He spent $51.34 on shirt.
Step 3: Subtract the spent amount from the initial money: $130.44 - $51.34 = $79.10. | shopping | easy |
167 | 建华 吴 traveled from Landryshire to Brownfort at 73 km/h for 5 hours. What distance was covered? | The distance covered is 365 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 73 km/h, time = 5 hours.
Step 3: Distance = 73 × 5 = 365 km. | distance_speed | easy |
168 | What is 42 ÷ 6? | The result is 7. | Step 1: Identify the operation: division.
Step 2: Divide 42 by 6.
Step 3: 42 ÷ 6 = 7. | basic_arithmetic | hard |
169 | Calculate 838 - 449. | The result is 389. | Step 1: Identify the operation: subtraction.
Step 2: Subtract 449 from 838.
Step 3: 838 - 449 = 389. | basic_arithmetic | medium |
170 | A shirt costs $24.68. If Hürüyet Conrad buys 7 of them, what is the total price? | Hürüyet Conrad spent $121.27 in total. | Step 1: Identify the items and their prices: shirt costs $24.68, chair costs $96.59.
Step 2: Add the prices to find the total.
Step 3: $24.68 + $96.59 = $121.27. | shopping | medium |
171 | A recipe requires 1/3 cup of flour. For 3 batches, how much flour is needed? | 0.67 cups of flour are needed. | Step 1: One batch requires 1/3 cup of flour.
Step 2: We need 2 batches.
Step 3: Multiply 1/3 by 2: (1 × 2) / 3 = 0.67. | fraction | medium |
172 | What is the value of x in 4x + 15 = 29? | The solution is x = 3.50. | Step 1: Start with equation: 4x + 15 = 29.
Step 2: Subtract 15 from both sides: 4x = 29 - 15 = 14.
Step 3: Divide both sides by 4: x = 14 / 4 = 3.50. | algebra | easy |
173 | Find x if 7x + 17 equals 12 | The solution is x = -0.71. | Step 1: Start with equation: 7x + 17 = 12.
Step 2: Subtract 17 from both sides: 7x = 12 - 17 = -5.
Step 3: Divide both sides by 7: x = -5 / 7 = -0.71. | algebra | medium |
174 | Convert 4 hours to seconds. | 4 hours is 14400 seconds. | Step 1: 1 hour = 60 minutes = 3600 seconds.
Step 2: 4 hours = 4 × 3600 = 14400 seconds. | time_logic | easy |
175 | The ratio of cars to bikes is 3:3. If there are 24 total, how many of each are there? | There are 12 of the first and 12 of the second. | Step 1: Total ratio parts = 3 + 3 = 6.
Step 2: Value of one ratio part = total ÷ total parts = 24 ÷ 6 = 4.00.
Step 3: First part count = 3 × 4.00 = 12.
Step 4: Second part count = 3 × 4.00 = 12. | ratio | medium |
176 | The ratio of teachers to students is 5:2. If there are 30 total, how many of each are there? | There are 21 of the first and 9 of the second. | Step 1: Total ratio parts = 5 + 2 = 7.
Step 2: Value of one ratio part = total ÷ total parts = 30 ÷ 7 = 4.29.
Step 3: First part count = 5 × 4.29 = 21.
Step 4: Second part count = 2 × 4.29 = 9. | ratio | easy |
177 | If 1/3 of students are boys and there are 88 students, how many are girls? | There are 56 girls. | Step 1: Total students = 83.
Step 2: Fraction of boys = 1/3.
Step 3: Number of boys = 83 × 1/3 = 27.
Step 4: Number of girls = total - boys = 83 - 27 = 56. | fraction | easy |
178 | Erik Hernandez has a meeting at 14:00 that lasts 3 hours. After a 33-minute break, Erik Hernandez has another activity. When does the second activity start? | The second activity starts at 17:33. | Step 1: meeting starts at 14:00 and lasts 3 hours.
Step 2: meeting ends at 17:00.
Step 3: Break lasts 33 minutes.
Step 4: Add break to end time: 17:00 + 33 minutes = 17:33. | time_logic | easy |
179 | The ratio of apples to oranges is 4:5. If there are 20 total, how many of each are there? | There are 9 of the first and 11 of the second. | Step 1: Total ratio parts = 4 + 5 = 9.
Step 2: Value of one ratio part = total ÷ total parts = 20 ÷ 9 = 2.22.
Step 3: First part count = 4 × 2.22 = 9.
Step 4: Second part count = 5 × 2.22 = 11. | ratio | hard |
180 | During a clearance sale, phone is discounted by 42%. Original price was $7.70. What's the new price? | The new price after 42% discount is $4.47. | Step 1: Original price is $7.70.
Step 2: Discount is 42%.
Step 3: Calculate discount amount: $7.70 × 0.42 = $3.23.
Step 4: Subtract discount from original price: $7.70 - $3.23 = $4.47. | shopping | medium |
181 | सेठ Bowen is 26 years old. Эммануил Ковалев is 13 years old. What is the sum of their ages? | The sum of their ages is 39 years. | Step 1: सेठ Bowen is 26 years old.
Step 2: Эммануил Ковалев is 13 years old.
Step 3: Add their ages: 26 + 13 = 39. | age | hard |
182 | A apple costs $7.25. If Musafet 류 buys 6 of them, what is the total price? | Musafet 류 spent $85.09 in total. | Step 1: Identify the items and their prices: book costs $7.25, shirt costs $77.84.
Step 2: Add the prices to find the total.
Step 3: $7.25 + $77.84 = $85.09. | shopping | easy |
183 | What is 13% of 171? | 13% of 171 is 22.23. | Step 1: We need to find 13% of 171.
Step 2: Percentage calculation: 171 × 0.13.
Step 3: 171 × 0.13 = 22.23. | percentage | hard |
184 | If Renato Perrin gets 30% discount on a $81 item, what's the final price? | The final price is $56.70. | Step 1: Original price = $81.
Step 2: Discount percentage = 30%.
Step 3: Discount amount = 81 × 0.3 = $24.30.
Step 4: Final price = original - discount = $81 - $24.30 = $56.70. | percentage | medium |
185 | If Jennifer Hampton thinks of a number, multiplies it by 4, and gets 136, what was the original number? | The original number is 34. | Step 1: Let the unknown number be x.
Step 2: According to the problem: x × 4 = 136.
Step 3: Divide both sides by 4: x = 136 ÷ 4 = 34. | algebra | medium |
186 | The ratio of teachers to students is 4:4. If there are 30 total, how many of each are there? | There are 15 of the first and 15 of the second. | Step 1: Total ratio parts = 4 + 4 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 30 ÷ 8 = 3.75.
Step 3: First part count = 4 × 3.75 = 15.
Step 4: Second part count = 4 × 3.75 = 15. | ratio | hard |
187 | Find x if 7x + 20 equals 27 | The solution is x = 1.00. | Step 1: Start with equation: 7x + 20 = 27.
Step 2: Subtract 20 from both sides: 7x = 27 - 20 = 7.
Step 3: Divide both sides by 7: x = 7 / 7 = 1.00. | algebra | hard |
188 | Erin Mårtensson completed 1/8 of a project on Monday and 3/4 on Tuesday. What fraction is complete? | 0.88 of the project is complete. | Step 1: On Monday, Erin Mårtensson completed 1/8.
Step 2: On Tuesday, Erin Mårtensson completed 3/4.
Step 3: Total completed = 1/8 + 3/4 = 0.88. | fraction | easy |
189 | The ratio of cars to bikes is 5:4. If there are 27 total, how many of each are there? | There are 15 of the first and 12 of the second. | Step 1: Total ratio parts = 5 + 4 = 9.
Step 2: Value of one ratio part = total ÷ total parts = 27 ÷ 9 = 3.00.
Step 3: First part count = 5 × 3.00 = 15.
Step 4: Second part count = 4 × 3.00 = 12. | ratio | easy |
190 | A sphere has radius 7 cm. What is its volume? (Use π = 3.14) | The volume is 1436.03 cm³. | Step 1: Formula for volume of sphere = (4/3) × π × radius³.
Step 2: Radius = 7 cm, π = 3.14.
Step 3: Volume = (4/3) × 3.14 × 7³ = (4/3) × 3.14 × 343 = 1436.03 cm³. | volume | hard |
191 | The ratio of apples to oranges is 2:3. If there are 97 total, how many of each are there? | There are 39 of the first and 58 of the second. | Step 1: Total ratio parts = 2 + 3 = 5.
Step 2: Value of one ratio part = total ÷ total parts = 97 ÷ 5 = 19.40.
Step 3: First part count = 2 × 19.40 = 39.
Step 4: Second part count = 3 × 19.40 = 58. | ratio | hard |
192 | Judith İnönü traveled from Port Emilyview to South James at 49 km/h for 4 hours. What distance was covered? | The distance covered is 196 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 49 km/h, time = 4 hours.
Step 3: Distance = 49 × 4 = 196 km. | distance_speed | medium |
193 | शर्म آل بن لافي bought bread for $32.12 and computer for $28.59. How much did she spend in total? | शर्म آل بن لافي spent $60.71 in total. | Step 1: Identify the items and their prices: bread costs $32.12, computer costs $28.59.
Step 2: Add the prices to find the total.
Step 3: $32.12 + $28.59 = $60.71. | shopping | hard |
194 | Determine x from the equation: 5x + 9 = 23 | The solution is x = 2.80. | Step 1: Start with equation: 5x + 9 = 23.
Step 2: Subtract 9 from both sides: 5x = 23 - 9 = 14.
Step 3: Divide both sides by 5: x = 14 / 5 = 2.80. | algebra | easy |
195 | What is 46 × 17? | The result is 782. | Step 1: Identify the operation: multiplication.
Step 2: Multiply 46 by 17.
Step 3: 46 × 17 = 782. | basic_arithmetic | easy |
196 | A train covers 391 km from Port Bonniemouth to New Laurie in 3 hours. What is its average speed? | The average speed is 130.3 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 391 km, time = 3 hours.
Step 3: Speed = 391 ÷ 3 = 130.3 km/h. | distance_speed | hard |
197 | Convert 5 hours to hours. | 5 hours is 5 hours. | Step 1: Direct conversion.
Step 2: 5 hours = 5 hours. | time_logic | hard |
198 | The ratio of apples to oranges is 4:3. If there are 35 total, how many of each are there? | There are 20 of the first and 15 of the second. | Step 1: Total ratio parts = 4 + 3 = 7.
Step 2: Value of one ratio part = total ÷ total parts = 35 ÷ 7 = 5.00.
Step 3: First part count = 4 × 5.00 = 20.
Step 4: Second part count = 3 × 5.00 = 15. | ratio | easy |
199 | A train covers 332 km from Simsview to Schneidermouth in 2 hours. What is its average speed? | The average speed is 166.0 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 332 km, time = 2 hours.
Step 3: Speed = 332 ÷ 2 = 166.0 km/h. | distance_speed | hard |
200 | If a train journey takes 3 hours and 25 minutes, and another takes 4 hours and 33 minutes, what is the total travel time? | The total travel time is 7 hours and 58 minutes. | Step 1: First journey: 3h 25min.
Step 2: Second journey: 4h 33min.
Step 3: Add hours: 3 + 4 = 7 hours.
Step 4: Add minutes: 25 + 33 = 58 minutes.
Step 5: Convert excess minutes to hours: 58 minutes = 58 minutes with 0 hour(s) to add.
Step 6: Total: 7 hours and 58 minutes. | time_logic | medium |
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