Question

Mike's car holds 14 2/5 g of gas, averages 20mpg. About how far can Mike's travel if his tank is 1/4 full?

Answer 1

It is given that :

The car of Mike's can hold =
`$14 (2)/(5)$` g of gas.

`$=(72)/(5)$` g of gas

∴
`$=(1)/(4) $` th of
`$(72)/(5)$` g of gas is
`$=(1)/(4) * (72)/(5)$`

`$=(18)/(5)$` g of gas

The average distance that the car can travel when the tank is full is = 20 mpg

∴ In
`$(72)/(5)$` g of gas, the car travels = 20 mpg

In 1 g of gas, the car travels =
`$20 * (5)/(72) $` mpg

So in
`$(18)/(5)$` g of gas, the car travels =
`$20 * (5)/(72) * (18)/(5) $` mpg

= 5 mpg