Question

Justin rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 72 cents for each mile driven. Justin had to pay

$182.71 when he returned the truck. For how many miles did he drive the truck?

Answer 1

226 miles

Explanation:

The equation for calculating the total rental charge is
Base Fee + (per mile charge)x (number of miles driven)

Let number of miles driven = X

Then

19.99 + 0.72X = 182.71

Multiply both sides by 100 to get integer values

`19.99\cdot \:100+0.72X\cdot \:100=182.71\cdot \:100`

==>
`1999+72X=18271`

Subtract 1999 from both sides

`1999+72X-1999=18271-1999`

`72X=16272`

Divide both sides by 72:

`(72X)/(72)=(16272)/(72)`

`X=226`

So Justin drove the truck for 226 miles