Ace car rental rents cars for x dollars per day plus y dollars for each time mile driven. Carlos rented a car fir 4 days, drove it 160 miles and spents $120. Vanessa rented a cat for 1 day, drove it 240 miles, and spent $80. Write equations to represent carlis expenses and vanessas expenses. Then solve the system and tell what each number represents

Question

Mathematics

Norton

22 October, 18:56

Ace car rental rents cars for x dollars per day plus y dollars for each time mile driven. Carlos rented a car fir 4 days, drove it 160 miles and spents $120. Vanessa rented a cat for 1 day, drove it 240 miles, and spent $80. Write equations to represent carlis expenses and vanessas expenses. Then solve the system and tell what each number represents

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Answers (1)

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Terrell · Answer 1

4x + 160y = 120

and

1x + 240y = 80

that will be be the equations. if we multiply the bottom equation by 4 we get:

4x + 960y = 320

now subtract one equation from another:

4x + 160y = 120

- (4x + 960y = 320)

and get:

-800y = - 200

y = $0.25

now plug this into one equation

x + 240 (.25) = 80

x + 60 = 80

x = $20

so $20 per day and $0.25 per mile