Question

Dave has 2 buckets that he uses to fill water troughs on his horse farm. he wants to determine how many ounces each bucket holds. On Tuesday,he fills an empty 2000 ounce water trough with 7 large buckets and 5 small buckets of water. On Thursday he fills the same empty water trough with 4 large buckets and 10 small buckets of water. How many ounces does each bucket hold?

Answer 1

Let x and y be the number of ounces present in the large bucket and small bucket, respectively. The system of linear equations that would allow us to answer the problem is,

7x + 5y = 2000
4x + 10y = 2000

The values of x and y from the system are 200 and 120 ounces.

Answer: large bucket = 200 ounces
small bucket = 120 ounces