Bill rented a truck for one day. There was a base fee of $18.95 , and there was an additional charge of .96 cents for each mile driven. Bill had to pay $135.11 when he returned the truck. For how many miles did he drive the truck?

Question

Bill rented a truck for one day. There was a base fee of $18.95 , and there was an additional charge of .96 cents for each mile driven. Bill had to pay $135.11 when he returned the truck. For how many miles did he drive the truck?

Answer 1

(135.11 - 18.95) / 0.96 = ?

Answer 2

To find the number of miles Bill drove the truck, we can subtract the base fee and the additional charge from the total amount he paid.

Let's assume the number of miles driven is "m."

The additional charge for each mile driven is $0.96. Therefore, the total additional charge for 'm' miles driven is 0.96 * m.

The total amount Bill paid is $135.11.

So, we can set up the equation:
18.95 + 0.96m = 135.11

Now, let's solve the equation to find the value of 'm.'

18.95 + 0.96m = 135.11

Subtracting 18.95 from both sides:
0.96m = 135.11 - 18.95
0.96m = 116.16

Dividing both sides by 0.96:
m = 116.16 / 0.96
m ≈ 120.75

Therefore, Bill drove approximately 120.75 miles.

Answer 3

To find out the number of miles Bill drove the truck, we need to subtract the base fee from the total amount he paid, and then divide the result by the additional charge per mile.

Let's break it down step by step:

Step 1: Subtract the base fee from the total amount:
Total amount paid - Base fee = Additional charge for miles driven
$135.11 - $18.95 = Additional charge for miles driven

Step 2: Calculate the additional charge per mile:
Additional charge for miles driven / Number of miles = Additional charge per mile
Additional charge per mile = $x / 1 mile

Step 3: Divide the additional charge for miles driven by the additional charge per mile to find the number of miles driven:
Additional charge for miles driven / Additional charge per mile = Number of miles driven

Now let's perform the calculations:

Step 1: Subtract the base fee from the total amount:
$135.11 - $18.95 = $116.16

Step 2: Calculate the additional charge per mile:
$116.16 / 1 mile = $0.96

Step 3: Divide the additional charge for miles driven by the additional charge per mile:
$116.16 / $0.96 ≈ 121

Therefore, Bill drove approximately 121 miles with the rented truck.