There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of milk from the second container and 3 gal. of milk from the first container, the second container had 4.5 times less milk than the first. How many gallons of milk were in both containers originally?

Question

Mathematics

Aspen Leach

22 June, 13:39

There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of milk from the second container and 3 gal. of milk from the first container, the second container had 4.5 times less milk than the first. How many gallons of milk were in both containers originally?

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Answers (1)

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Wallace · Answer 1

Set equations for both containers:

Condition one: $y=2x$

Condition two: $ (y-3) = 4.5 (x-2) $

plug in $y$ from condition one into the second equation:

$2x-3=4.5x-9$

simplify gives: $2.5x=6$

$/boxed{x=2.4}$

$/boxed{y=4.8}$