Question

Tom rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 75 cents for each mile driven. Tom had to pay $160.74 when he returned the truck. For how many miles did he drive the truck?

Answer 1

Answer:

Tom drove the truck for a distance of 89 miles.

Step-by-step explanation:

Base fee of truck = $18.99

Additional charge per mile = $0.75 per mile

Amount paid by Tom for the rented truck = $160.74

Let us assume Tom drove the truck for a distance of $m$ miles.

So, for $m$  miles they would charge in dollars as:

⇒ $\textrm{ Base fee+ (Additional charge times miles driven) }$

⇒ $18.99+(0.75\times m)$

⇒ $18.99+0.75\ m$

We know the actual amount charge, so we can equate.

$18.99+0.75\ m=160.74$

Subtracting both sides by 18.99 to cancel 18.99 on left side.

$18.99+0.75\ m-18.99=160.74-18.99$

$0.75\ m=160.74-18.99$

$0.75\ m=141.75$

dividing both sides by 0.75 to isolate $m$

$\frac{0.75\ m}{0.75}=\frac{141.75}{0.75}$

$m=89$

∴ Tom drove the truck for a distance of 89 miles.