A farmer milks her cow and fills two 10 - gallon buckets of milk. There are two customers at the farmstand who want milk immediately. Customer A has an empty three gallon bucket and customer B has an empty five gallon bucket. Each customer only wants two gallons of milk each. There are no extra buckets, no way to mark the buckets, and the farmer will not pour any milk away.

How can she get 2 gallos in each customer's bucket with only these 4 buckets without wasting any milk?

Question

Mathematics

Villarreal

10 January, 19:43

A farmer milks her cow and fills two 10 - gallon buckets of milk. There are two customers at the farmstand who want milk immediately. Customer A has an empty three gallon bucket and customer B has an empty five gallon bucket. Each customer only wants two gallons of milk each. There are no extra buckets, no way to mark the buckets, and the farmer will not pour any milk away.

How can she get 2 gallos in each customer's bucket with only these 4 buckets without wasting any milk?

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Answers (1)

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Alyssa Matthews · Answer 1

10, 6, 2, 2 gallons of milk

Step-by-step explanation:

Since there are two full 10 gallons of buckets and one empty 5 gallons bucket and one empty 3 gallons bucket. We have 10,10,0,0 gallons of milk

Step 1: Pour the milk in the 10 gallon buckets into the empty 3 and 5 gallon buckets. We have 7, 5, 5, 3 gallons of milk

Step 2: Empty the milk in the 3 gallon bucket into the the 10 gallons bucket containing 5 gallons of milk to give 8 gallons of milk. We have 7, 8, 5, 0 gallons of milk

Step 3: Pour the milk in the 5 gallons bucket into the empty 3 gallons bucket to remain 2 gallons of milk in the 5 gallons bucket. We have 7, 8, 2, 3 gallons of milk

Step 4: Full the 10 gallons bucket containing 8 gallons of milk with the milk in 3 gallons bucket to remain one gallon in the bucket. We have 7, 10, 2, 1 gallons of milk

Step 5: Pour the remaining 2 gallons of milk in the 5 gallons bucket into the 10 gallons bucket containing 7 gallons of milk. We have 9, 10, 0, 1 gallons of milk

Step 6: Full the 5 gallons bucket with milk from the full 10 gallons bucket. We have 9, 5, 5, 1 gallons of milk.

Step 7: Pour the remaining 1 gallon milk in the 3 gallons bucket into the 10 gallons bucket containing 5 gallons of milk to make 6 gallons. We have 9, 6, 5, 0 gallons of milk

Step 8: Full the 3 gallons bucket with the milk in the full 5 gallons bucket to remain 2 gallons of milk. We have 9, 6, 2, 3 gallons of milk

Step 9: Full the 10 gallons bucket containing 9 gallons of milk with the milk in the full 3 gallons bucket to remain 2 gallons of milk. We have 10, 6, 2, 2 gallons of milk.

So the customers can go with 2 gallon of milk each with this method