Question

Changs gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Changs tank hold?

Answer 1

Answer:

26 gallons

Step-by-step explanation:

Set up an equation to represent this problem. Parameter (x) represents the gas tank when it is filled. Based on the problem;

$\frac{1}{5}x + 13 = \frac{7}{10}x$

Inverse operations;

$\frac{1}{5}x + 13 = \frac{7}{10}x\\-\frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{1}{5}x$

Convert to combine denominator, and simplify,

$13 = \frac{7}{10}x - \frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{2}{10}x\\\\13 = \frac{5}{10}x\\\\13 = \frac{1}{2}x$

Inverse operations,

$13 = \frac{1}{2}x\\*2\\\\26 = x$

26 gallons