Question

Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of the tank A to tank B is 11:15. How much water is in tank A? What is the Capacity of the tank B? How much water is in the tank B?

Answer 1

Capacity of Tank B = 750 gal

363 gal in Tank A and 397.5 gal in Tank B

Explanation:

(a) Volume of Tank B

V_A = 550 gal

V_A/V_B = 11/15

550/V_B = 11/15

Multiply each side by 15 (15 × 550)/V_B = 11

Multiply each side by V_B 5 × 550 = 11V_B

Divide each side by 11 15 × 50 = V_B

V_B = 750 gal

The capacity of Tank B is 750 gal.

(b) Water in each tank

In Tank A: 550 × 0.66 = 363 gal

In Tank B: 750 × 0.53 = 397.5 gal

There are 363 gal in Tank A and 397.5 gal in Tank B.