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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! ☺♥♫

Respuesta :

jinc0930
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
adioabiola

The charge per day and charge per mile for the compact car is $36 and $0.22 respectively

let

x = charge per day

y = charge per mile

6x + 550y = 337 (1)

3x + 350y = 185 (2)

multiply (2) by 2

6x + 700y = 370 (3)

6x + 550y = 337 (1)

subtract (1) from (3)

700y - 550y = 370 - 337

150y = 33

y = 33/150

y = 0.22

substitute y = 0.22 into (2)

3x + 350y = 185

3x + 350(0.22) = 185

3x + 77 = 185

3x = 185 - 77

3x = 108

x = 108/3

x = 36

Therefore, charge per day and charge per mile for the compact car is $36 and $0.22 respectively

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