Question

Amit drives a pickup truck. On monday, his gas tank was 1/2 full, and he filled it up. On Thursday his gas tank was 3/4 full, and he again filled it up. Amit put a total of 19 1/2 gallons of gas into his truck. What is the capacity of the trucks fuel tank?

Answer 1

If x marks the full gas tank,

`(1)/(2) x + (1)/(4) x = 19.5 \: gallons`

Then, we just solve the equation:

`(2)/(4) x + (1)/(4) x = 19.5 \\ (3)/(4) x = 19.5 \\ x = 19.5 / 0.75 = 26 \: gallons`