Question

Rent-a-car rents compact cars for a fixed amount per day plus a fixed amount for each mile driven Benito rented a car for 6 days drove it 550 miles and spent $337. Lisa rented the same car for 3 days drove it 350 miles and spent $185. What is the charge per day and charge per mile for the compact car?
Please show all work! TYSM! ☺♥♫

Answer 1

If charge per day =x
and charge per mile =y

6x + 550y = 337
3x + 350y = 185

multiple the second equation by 2
6x+700y=370
subtract the first equation from this equation
150y=33
y=0.22

Now we plug the y back in to one of the initial equations to get the value of x

3x+350(0.22)=185
x=36

Charge per day is $36 and charge per mile is $0.22