Question

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

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