Question: Bill milked his cow and got 16 gallons of milk. He turned 1/4 into sour cream, 1/4 into butter, and kept the rest as whole milk. It takes 4 gallons of milk to make one gallon of butter and 2 gallons of milk to make 1 gallon of sour cream. If Bill sells butter for $5/gallon, sour cream for $6/gallon, and whole milk for $3/gallon, how much money does he make?
Answer: First find how much milk Bill turned into sour cream and butter: 16 gallons * 1 / 4 = 4 gallons. Then find how many gallons of butter he makes out of 4 gallons of milk: 4 gallons milk / 4 gallons milk / 1 gallon butter = 1 gallon butter. Then find how many gallons of sour cream he makes out of 4 gallons of milk: 4 gallons milk / 2 gallons milk / 1 gallon sour cream = 2 gallon sour cream. Then subtract the amount of milk turned into butter and sour cream to find the remaining amount of whole milk: 16 gallons - 4 gallons - 4 gallons = 8 gallons. Then multiply the number of gallons of milk by the price of milk to find the total cost of the milk: 8 gallons * $3 / gallon = $24. Then multiply the number of gallons of sour cream by the price of sour cream to find the total cost of the sour cream: 2 gallons * $6 / gallon = $12. Then add the cost of the butter, sour cream and milk to find the total amount of money Bill earns: $24 + $12 + $5 = $41. The answer is 41.
[Question]After working for Mrs. Jane, Jason was paid 60 more coins than Jayden. If Jayden received 300 coins, how many coins did Mrs. Jane give to the boys in total?
[Answer]If Jayden received 300 coins, 60 fewer than what Jason received, then Jason received 300 + 60 = 360. Altogether, the two boys received 360 + 300 = 660 coins. The answer is 660.
Q: A bag has seven apples, eight oranges, and 15 mangoes. Luisa takes out two apples from the bag, and takes out twice as many oranges as apples as she took from the bag. She then takes out 2/3 the number of mangoes from the bag. What is the remaining number of fruits in the bag?
A: When Luisa takes out two apples from the bag, 7 apples - 2 apples = 5 apples remain in the bag. She also takes 2 apples * 2 oranges / apple = 4 oranges from the bag. The total number of oranges remaining in the bag is 8 oranges - 4 oranges = 4 oranges. Additionally, a total of 2 / 3 * 15 mangoes = 10 mangoes are also removed from the bag. The total number of mangoes remaining in the bag is 15 mangoes - 10 mangoes = 5 mangoes. The total number of fruits that Luisa left in the bag is 5 apples + 4 oranges + 5 mangoes = 14. The answer is 14.
Question: The spacecraft Gibraltar is a mountain-sized intergalactic vehicle for transporting equipment, building materials, and families to establish colonies on far-away planets. At full capacity, the vehicle can carry 300 family units with four people per family. The space flight is expected to take years, and it is expected that the size of families will grow during the space voyage. Therefore, when the spacecraft leaves the earth, it will carry 100 people less than one-third of the ship's capacity. How many people will be on the ship to start the journey?
Answer: The full capacity of the ship is 300 * 4 = 1200 people. One - third of capacity is 1200 / 3 = 400 people. 100 less than one - third capacity is 400 - 100 = 300 people. The answer is 300.
[Question]Violet is planning a hike through the desert with her dog. Violet needs 800 ml of water per hour hiked and her dog needs 400 ml of water per hour. If Violet can carry 4.8 L of water, how many hours can she and her dog spend hiking?
[Answer]First find the total amount of water Violet and her dog consume per hour: 800 ml + 400 ml = 1200 ml. Then divide that amount by 1000 ml / L to convert it to liters: 1200 ml / 1000 ml / L = 1.2 L. Then divide Violet's carrying capacity by the amount of water they drink per hour to find how many hours she can hike: 4.8 L / 1.2 L / hour = 4 hours. The answer is 4.
[Question]Jess made 3 different stacks of wooden blocks. The first stack was 7 blocks high, the second stack was 5 block(s) higher than the first, and the final stack was 7 block(s) higher than the second. Jess’ little sister knocked over the entire first tower, in the second tower she left 2 blocks standing, and in the final tower she left 3 blocks standing. How many blocks in total fell down?
[Answer]
Jess’ second stack was 7 blocks + 5 blocks = 12 blocks. Jess’ third stack was 12 blocks + 7 blocks = 19 blocks high. Jess’ sister knocked down the second tower and knocked 12 blocks – 2 = 10 blocks knocked over. Jess’ sister knocked down the final tower and knocked 19 blocks – 3 = 16 blocks knocked over. Total blocks knocked over was 7 blocks + 10 + 16 = 33 blocks. The answer is 33.