word problem

Question

1/8 tank of gas, U put in 8 gals, now u have 3/4 tank of gas, how many gallons need to fill it up?

Answer 1

If x = the number of gallons to fill the tank, then we can form the following equation:

 

1/8 x + 8 = 3/4 x

 

x + 64 = 6x (if we multiply both sides of the equation by the LCD of 8)

 

5x = 64

 

x = 64/5 = 12 4/5 = 12.8 gal 

 

Answer 2

t represents the amount in the tank

(1/8)t + 8 = (3/4)t

 

Can you solve for t and answer?