Treys gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Treys tank hold?

Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"

Let x = gallons to fill the tank

14

multiply by 12

12*3%2F4x = 12*1%2F6x + 12(14)

3(3x) = 2x + 168

9x - 2x = 168

7x = 168

x = 168/7

x = 24 gallons

:

see if that is true

1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank

step-by-step explanation:

the shape,the size and the distance