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A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years? | Let S be the number of people on the first hundred years’ ship.
The second hundred years’ ship had twice as many as the first, so it had 2S people.
The third hundred years’ ship had twice as many as the second, so it had 2 * 2S = <<2*2=4>>4S people.
All the ships had S + 2S + 4S = 7S = 847 people.
Thus, the ship that the monster ate in the first hundred years had S = 847 / 7 = <<847/7=121>>121 people on it.
#### 121 | A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years? | Let S be the number of people on the first hundred years’ ship.
The second hundred years’ ship had twice as many as the first, so it had 2S people.
The third hundred years’ ship had twice as many as the second, so it had 2 * 2S = 4S people.
All the ships had S + 2S + 4S = 7S = 847 people.
Thus, the ship that the monster ate in the first hundred years had S = 847 / 7 = 121 people on it. | يظهر وحش من أعماق البحار مرة كل مائة عام ليفترس سفينة ويشبع جوعه. على مدى ثلاثمائة عام، التهم 847 شخصًا. لقد تم بناء السفن بأحجام أكبر مع مرور الوقت، لذا فإن كل سفينة جديدة تحمل ضعف عدد الأشخاص الذين كانوا على متن السفينة السابقة. كم عدد الأشخاص الذين كانوا على متن السفينة التي التهمها الوحش في المائة عام الأولى؟ | دع S تكون عدد الأشخاص على سفينة المئة عام الأولى.
سفينة المئة عام الثانية كان بها ضعف عدد الأولى، لذا كان بها 2S شخص.
سفينة المئة عام الثالثة كان بها ضعف عدد الثانية، لذا كان بها 2 * 2S = 4S شخص.
جميع السفن كان بها S + 2S + 4S = 7S = 847 شخصاً.
وبالتالي، فإن السفينة التي التهمها الوحش في المئة عام الأولى كان بها S = 847 / 7 = 121 شخصاً. |
Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel? | He saved up $110 total because 95 + 15 = <<95+15=110>>110
He saved $15 from his allowance because 3 x 5 = <<3*5=15>>15
He earned $60 mowing lawns because 4 x 15 = <<4*15=60>>60
He earned $35 shoveling driveways because 110 - 60 - 15 = <<110-60-15=35>>35
He shoveled 5 driveways because 35 / 7 = <<35/7=5>>5
#### 5 | Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel? | He saved up $110 total because 95 + 15 = 110
He saved $15 from his allowance because 3 x 5 = 15
He earned $60 mowing lawns because 4 x 15 = 60
He earned $35 shoveling driveways because 110 - 60 - 15 = 35
He shoveled 5 driveways because 35 / 7 = 5 | توبياس يشتري حذاءً جديدًا بتكلفة 95 دولارًا. لقد كان يدخر أمواله كل شهر على مدار الأشهر الثلاثة الماضية. يحصل على مصروف قدره 5 دولارات شهريًا. كما أنه يقوم بجز العشب وجرف الممرات. يتقاضى 15 دولارًا لجز العشب و7 دولارات للجرف. بعد شراء الحذاء، بقي معه 15 دولارًا كباقي. إذا قام بجز 4 حدائق، فكم عدد الممرات التي جرفها؟ | لقد ادخر ما مجموعه 110$ لأن 95 + 15 = 110
لقد ادخر 15$ من مصروفه لأن 3 × 5 = 15
لقد كسب 60$ من جز العشب لأن 4 × 15 = 60
لقد كسب 35$ من جرف الممرات لأن 110 - 60 - 15 = 35
لقد جرف 5 ممرات لأن 35 ÷ 7 = 5 |
Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm? | Half of the number of Randy's mango trees is 60/2 = <<60/2=30>>30 trees.
So Randy has 30 - 5 = <<30-5=25>>25 coconut trees.
Therefore, Randy has 60 + 25 = <<60+25=85>>85 treeson his farm.
#### 85 | Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm? | Half of the number of Randy's mango trees is 60/2 = 30 trees.
So Randy has 30 - 5 = 25 coconut trees.
Therefore, Randy has 60 + 25 = 85 treeson his farm. | يمتلك راندي 60 شجرة مانجو في مزرعته. كما يمتلك أقل بخمسة من نصف عدد أشجار المانجو من أشجار جوز الهند. كم عدد الأشجار التي يمتلكها راندي في مزرعته بالمجمل؟ | نصف عدد أشجار المانجو التي يملكها راندي هو 60/2 = 30 شجرة.
لذا فإن راندي لديه 30 - 5 = 25 شجرة جوز هند.
وبالتالي، يمتلك راندي 60 + 25 = 85 شجرة في مزرعته. |
Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients? | A pound of cream cheese cost $10 / 2 = $<<10/2=5>>5.
A pack of cold cuts cost $10 x 2 = $<<10*2=20>>20.
Jasper spent $10 + $5 + $20 = $<<10+5+20=35>>35 on the ingredients.
#### 35 | Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients? | A pound of cream cheese cost $10 / 2 = $5.
A pack of cold cuts cost $10 x 2 = $20.
Jasper spent $10 + $5 + $20 = $35 on the ingredients. | سيقدم جاسبر لحوم باردة (تشاركوتري) في حفل العشاء الخاص به. يشتري 2 رطل من جبن الشيدر بـ 10 دولارات، ورطل من الجبن الكريمي الذي يكلف نصف سعر جبن الشيدر، وعبوة من اللحوم الباردة التي تكلف ضعف سعر جبن الشيدر. كم ينفق على المكونات؟ | تكلف رطل من الجبن الكريمي 10$ / 2 = 5$.
تكلف علبة من اللحوم الباردة 10$ × 2 = 20$.
أنفق جاسبر 10$ + 5$ + 20$ = 35$ على المكونات. |
Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages? | In one hour, there are 3 sets of 20 minutes.
So, Joy can read 8 x 3 = <<8*3=24>>24 pages in an hour.
It will take her 120/24 = <<120/24=5>>5 hours to read 120 pages.
#### 5 | Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages? | In one hour, there are 3 sets of 20 minutes.
So, Joy can read 8 x 3 = 24 pages in an hour.
It will take her 120/24 = 5 hours to read 120 pages. | تستطيع جوي قراءة 8 صفحات من كتاب في 20 دقيقة. كم ساعة ستستغرق لقراءة 120 صفحة؟ | في الساعة الواحدة، هناك 3 مجموعات من 20 دقيقة.
لذلك، يمكن لجوي أن تقرأ 8 × 3 = 24 صفحة في الساعة.
سيستغرق الأمر منها 120/24 = 5 ساعات لقراءة 120 صفحة. |
James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks? | He sold each DVD for 6*2.5=$<<6*2.5=15>>15
So he makes a profit of 15-6=$<<15-6=9>>9
So each day he makes a profit of 9*500=$<<9*500=4500>>4500
So he makes 4500*5=$<<4500*5=22500>>22,500
He makes 22,500*20=$<<22500*20=450000>>450,000
Then after the cost of creating the movie he has a profit of 450,000-2000=$<<450000-2000=448000>>448,000
#### 448000 | James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks? | He sold each DVD for 6*2.5=$15
So he makes a profit of 15-6=$9
So each day he makes a profit of 9*500=$4500
So he makes 4500*5=$22,500
He makes 22,500*20=$450,000
Then after the cost of creating the movie he has a profit of 450,000-2000=$448,000 | يُنشئ جيمس إمبراطورية إعلامية. يصنع فيلمًا بتكلفة 2000 دولار. تكلفة صنع كل قرص DVD هي 6 دولارات. يبيعه بـ 2.5 ضعف هذا المبلغ. يبيع 500 فيلم يوميًا لمدة 5 أيام في الأسبوع. كم مقدار الربح الذي يحققه في 20 أسبوعًا؟ | باع كل قرص DVD بسعر 6*2.5=$15
لذا فهو يحقق ربحًا قدره 15-6=$9
لذا فهو يحقق ربحًا يوميًا قدره 9*500=$4500
إذن فهو يحقق 4500*5=$22,500
يحقق 22,500*20=$450,000
ثم بعد تكلفة إنشاء الفيلم، يكون لديه ربح قدره 450,000-2000=$448,000 |
The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200? | According to the ratio, for every 5 parts that Johnson gets, Mike gets 2 parts
Since Johnson got $2500, each part is therefore $2500/5 = $<<2500/5=500>>500
Mike will get 2*$500 = $<<2*500=1000>>1000
After buying the shirt he will have $1000-$200 = $<<1000-200=800>>800 left
#### 800 | The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200? | According to the ratio, for every 5 parts that Johnson gets, Mike gets 2 parts
Since Johnson got $2500, each part is therefore $2500/5 = $500
Mike will get 2*$500 = $1000
After buying the shirt he will have $1000-$200 = $800 left | يتم تقسيم الربح من صفقة تجارية بين شريكين تجاريين، مايك وجونسون، بنسبة 2:5 على التوالي. إذا حصل جونسون على 2500 دولار، فكم سيكون لدى مايك بعد إنفاق جزء من حصته على قميص تكلفته 200 دولار؟ | وفقًا للنسبة، مقابل كل 5 أجزاء يحصل عليها جونسون، يحصل مايك على جزئين
بما أن جونسون حصل على 2500$، فإن كل جزء يساوي إذن 2500$/5 = 500$
سيحصل مايك على 2*500$ = 1000$
بعد شراء القميص سيتبقى لديه 1000$-200$ = 800$ |
In a truck, there are 26 pink hard hats, 15 green hard hats, and 24 yellow hard hats. If Carl takes away 4 pink hard hats, and John takes away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats that he removed, then calculate the total number of hard hats that remained in the truck. | If there were 26 pink hard hats and Carl took away 4 pink hard hats, the number of pink hard hats that remained is 26-4 = <<26-4=22>>22
John also took away 6 pink hard hats, leaving 22-6 = <<22-6=16>>16 pink hard hats in the truck.
If John also took twice as many green hard hats as pink hard hats, he took 2*6 = <<6*2=12>>12 green hard hats.
The total number of green hard hats that remained in the truck is 15-12 = <<15-12=3>>3
In the truck, after some are taken, there were 3 green hard hats + 16 pink hard hats = <<3+16=19>>19 hard hats in the truck.
Altogether, 19 green and pink hard hats + 24 yellow hards hats = <<19+24=43>>43 hard hats remained in the truck
#### 43 | In a truck, there are 26 pink hard hats, 15 green hard hats, and 24 yellow hard hats. If Carl takes away 4 pink hard hats, and John takes away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats that he removed, then calculate the total number of hard hats that remained in the truck. | If there were 26 pink hard hats and Carl took away 4 pink hard hats, the number of pink hard hats that remained is 26-4 = 22
John also took away 6 pink hard hats, leaving 22-6 = 16 pink hard hats in the truck.
If John also took twice as many green hard hats as pink hard hats, he took 2*6 = 12 green hard hats.
The total number of green hard hats that remained in the truck is 15-12 = 3
In the truck, after some are taken, there were 3 green hard hats + 16 pink hard hats = 19 hard hats in the truck.
Altogether, 19 green and pink hard hats + 24 yellow hards hats = 43 hard hats remained in the truck | في شاحنة، هناك 26 خوذة وردية صلبة، و15 خوذة خضراء صلبة، و24 خوذة صفراء صلبة. إذا أخذ كارل 4 خوذ وردية صلبة، وأخذ جون 6 خوذ وردية صلبة وضعف عدد الخوذ الخضراء الصلبة مقارنة بعدد الخوذ الوردية التي أخذها، فاحسب العدد الإجمالي للخوذ الصلبة التي بقيت في الشاحنة. | إذا كان هناك 26 خوذة وردية صلبة وأخذ كارل 4 خوذات وردية صلبة، فإن عدد الخوذات الوردية الصلبة المتبقية هو 26-4 = 22
كما أخذ جون 6 خوذات وردية صلبة، تاركاً 22-6 = 16 خوذة وردية صلبة في الشاحنة.
إذا أخذ جون أيضاً ضعف عدد الخوذات الخضراء الصلبة مقارنة بالخوذات الوردية الصلبة، فقد أخذ 2*6 = 12 خوذة خضراء صلبة.
العدد الإجمالي للخوذات الخضراء الصلبة التي بقيت في الشاحنة هو 15-12 = 3
في الشاحنة، بعد أخذ البعض، كان هناك 3 خوذات خضراء صلبة + 16 خوذة وردية صلبة = 19 خوذة صلبة في الشاحنة.
في المجموع، بقي 19 خوذة صلبة خضراء ووردية + 24 خوذة صلبة صفراء = 43 خوذة صلبة في الشاحنة |
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