Question 1013399
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A car's gas tank is 1/2 full. If eight gallons are added,
the tank will become 7/8 full. What is the full capacity of the tank?
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Let V be the tank volume (full capacity) in gallons.

Then, according to the condition,

{{{V/2 + 8}}} = {{{(7/8)*V}}}.

It is your equation to determine V. To solve it, multiply both sides by 8. You will get

4V + 64 = 7V,

64 = 7V - 4V,

64 = 3V,

V = {{{64/3}}} = {{{21}}}{{{1/3}}} gallons.
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