Question

Question #85173

Answer 1

`color(blue)(600)` gallons of water came from the smaller hose.

Explanation:

First, write it as an equation:
`3000 "gallons" = L + S`
L = gallons from large hose
S = gallons from small hose

Then, replace the large hose with the information provided. Since it fills the pool 4 times as fast as the smaller one, we can replace L with 4S:
`3000 = 4S + S`

Finally, simplify and solve for S:
`3000 = 5S`
`S = 600`

`color(blue)(600)` gallons of water came from the smaller hose.

Bonus:
To find the amount filled by the large hose, substitute the value for S into the original equation and solve for L:
`3000 = L + 600`
`color(red)(L = 2400)`