Question

Charlie rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 74 cents for each mile driven. Charlie had to pay $190.37 when he returned the truck. For how many miles did he drive the truck?

Answer 1

The total cost can be represented with the addition of the base fee plus the amount due to the person driving x miles at a charge of $0.74 per mile

Then we set the following equation:

Total cost = $14.99 + $0.74 * x

SInce the person paid a total of $190.37, then we replace the total cost with $190.37 and solve for x:

190.37 = 14.99 + 0.74 x

subtract 14.99 from both sides:

190.37 - 14.99 = 0.74 x

175.38 = 0.74 x

divide both sides by 0.74 to isolate x on one side:

175.38 / 0.74 = x

x = 237

the person drove 237 miles.