Question

the container that holds the water for the football team is 7/10 full. after pouring out 3 gallons of water, it is 1/2 full. how many gallons can the container hold.

Answer 1

The container can hold 15 gallons of water

Explanation:

Step 1

Determine the proportion of water initially in the container;

initial amount=7/10×x=0.7 x

Step 2

Determine the remainder proportion of the water after pouring 3 gallons using the expression below;

remainder proportion=initial proportion-proportion poured

where;

remainder proportion=1/2 x=0.5 x

initial proportion=0.7 x

proportion poured=unknown=p

replacing;

0.5 x=0.7 x-p

p=0.7 x-0.5 x

p=0.2 x

proportion poured=0.2 x

But;

0.2 x=3 gallons

x=3/0.2=15 gallons

x= 15 gallons

The container can hold 15 gallons of water