Alan rented a truck for one day. There was a base fee of , and there was an additional charge of cents for each mile driven. Alan had to pay when he returned the truck. For how many miles did he drive the truck?
To find the number of miles Alan drove, we need to find the total cost Alan had to pay and then divide by the additional charge per mile. Let's set up an equation to represent the problem:
Total cost = base fee + (additional charge per mile * number of miles driven)
Alan paid $75 for the day, so the total cost is $75.
Total cost = $75
The base fee is given as $50, so we can substitute that into the equation:
$75 = $50 + (additional charge per mile * number of miles driven)
Now, to find the additional charge per mile. Let's call it "c" for convenience. We are told it is $0.55 per mile:
c = $0.55
Substituting this back into the equation:
$75 = $50 + ($0.55 * number of miles driven)
Now we can solve for the number of miles driven:
$25 = $0.55 * number of miles driven
Divide both sides of the equation by $0.55:
$\frac{25}{0.55} = \frac{0.55 \cdot \text{{number of miles driven}}}{0.55}$
Simplifying:
45.45 = number of miles driven
Therefore, Alan drove approximately 45.45 miles.