SOLUTION: Frank's gas tank was 1/4 full. After putting in G gallons of gasoline, the tank was 7/8 full. What's was the capacity of the tank? A. 5G/8 B.8G/5 C.8G/7 D.7G/8 E.4G

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Question 979285: Frank's gas tank was 1/4 full. After putting in G gallons of gasoline, the tank was 7/8 full. What's was the capacity of the tank?
A. 5G/8
B.8G/5
C.8G/7
D.7G/8
E.4G
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
x = full capacity of the tank (in gallons)

"Frank's gas tank was 1/4 full" so it has (1/4)*x = x/4 gallons of gas in it already.

Add on G gallons: (x/4) + G

This is equal to 7/8 of the full capacity, so (x/4) + G = (7/8)x

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Solve for x

(x/4) + G = (7/8)x
(x/4) + G-(x/4) = (7/8)x-(x/4)
G = (7/8 - 1/4)x
G = (7/8 - 2/8)x
G = (5/8)x
(8/5)*G = (8/5)*(5/8)x
(8/5)*G = x
x = (8/5)*G
x = 8G/5

The full capacity of the tank is 8G/5

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Let represent the capacity of a full tank. From the problem we have that

Solve for

Now all you have to do is solve for

John

My calculator said it, I believe it, that settles it