When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the t

Question

4 years ago

13

ank hold when it is full?

2 answers:

alexandr1967 [171] · Answer 1 · 2022-02-01T10:23:03+03:00

4 0

Answer:

54

Step-by-step explanation:

aksik [14] · Answer 2 · 2022-02-01T08:27:21+03:00

Answer:

54 gallons

Step-by-step explanation:

Let x represent the volume of the full tank.

When the water tank is 30% full;

= 30% of x = 0.30x

when it is 20% empty:

= x - 20% of x = x - 0.20x = 0.80x

The difference is given as 27.

So, we can represent the question on an equation as;

0.80x - 0.30x = 27

Solving the equation, we have;

0.50x = 27

x = 27/0.50

x = 54 gallons

The tank can hold 54 gallons when it is full.