Fraction Problem Solving- Word

Question

Abdul's gas tank is 1/10 full. After he buys 10 gallons of gas, it is 1/2 full. How many gallons can Abdul's tank hold?

Answer 1

Let x = the number of gallons in a full tank. If the tank is 1/10 full, then it holds (1/10)x gallons. Add 10 gallons and it holds (1/2)x gallons):

(1/10)x + 10 = (1/2)x

10 = (1/2)x - (1/10)x

Solve for x. Start by multiplying both sides of the equation by 10 to get rid of the fractions.