Question

Alesha needs to rent a truck to help her move. The truck will cost $29.95 and insurance will cost $14.00. There is an additional charge for the total number of miles driven at the cost of $1.09 per mile. If Alesha pays $179.11, how many miles did Alesha drive?

Responses

Answer 1

Alesha drove 124 miles.

Explanation:

To find the number of miles Alesha drove, we need to subtract the fixed costs (truck rental and insurance) from the total cost and then divide by the cost per mile.

Total cost = truck rental + insurance + cost per mile x number of miles driven

Given that Alesha paid $179.11, we can write:

$179.11 = $29.95 + $14.00 + $1.09 x number of miles driven

Simplifying this equation, we get:

$179.11 - $43.95 = $1.09 x number of miles driven

$135.16 = $1.09 x number of miles driven

To solve for the number of miles driven, we can divide both sides by $1.09:

number of miles driven = $135.16 / $1.09

number of miles driven = 124

Therefore, Alesha drove 124 miles.