Answered

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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?

Sagot :

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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;

[tex]\frac{1}{5}x + 13 = \frac{7}{10}x[/tex]

Inverse operations;

[tex]\frac{1}{5}x + 13 = \frac{7}{10}x\\-\frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{1}{5}x\\\\[/tex]

Convert to combine denominator, and simplify,

[tex]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[/tex]

Inverse operations,

[tex]13 = \frac{1}{2}x\\*2\\\\26 = x[/tex]

26 gallons

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