Chris rented a truck for one day. There was a base fee of $14.95,, and there was an additional charge of 78 cents for each mile driven. Chris had to pay $210.73 when he returned the truck. For how many miles did he drive the truck?
Let's assume that Chris drove x miles.
The additional charge for driving x miles is 78x cents.
The total amount Chris had to pay is $14.95 + 78x cents.
Since 1 dollar is equal to 100 cents, we can write the total amount Chris had to pay as:
$14.95 + 78x/100.
But we know that Chris had to pay $210.73, so we can write the equation:
$14.95 + 78x/100 = $210.73.
Let's solve this equation to find the value of x.
Subtracting $14.95 from both sides of the equation first, we get:
78x/100 = $210.73 - $14.95.
Simplifying the right side of the equation, we get:
78x/100 = $195.78.
To get rid of the division by 100, we multiply both sides of the equation by 100, and we get:
78x = 19578.
Now, to find the value of x, we divide both sides of the equation by 78:
x = 19578/78.
Dividing, we get:
x = 250.
Therefore, Chris drove the truck for 250 miles. Answer: \boxed{250}.
wrong.
Apologies for the incorrect response.
Let's try again:
Let's assume that Chris drove x miles.
The additional charge for driving x miles is $0.78x.
The total amount Chris had to pay is $14.95 + $0.78x.
Since Chris had to pay $210.73, we can write the equation:
$14.95 + $0.78x = $210.73.
Let's solve this equation to find the value of x.
Subtracting $14.95 from both sides of the equation, we get:
$0.78x = $210.73 - $14.95.
Simplifying the right side of the equation, we get:
$0.78x = $195.78.
Dividing both sides of the equation by $0.78, we get:
x = $195.78 / $0.78.
Dividing, we find:
x = 250.
Therefore, Chris drove the truck for 250 miles. Answer: \boxed{250}.