SOLUTION: mike rented a car for five days and drove 300 miles. he was charged $300.00. tim rented the same car for six days and drove 220 miles. he was charged $325.00. what does the company

Question 503566: mike rented a car for five days and drove 300 miles. he was charged $300.00. tim rented the same car for six days and drove 220 miles. he was charged $325.00. what does the company charge per day and per mile.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
d = charge per day in dollars
m = charge per mile in dollars
.
5d + 300m = 300
6d + 220m = 325
.
multiply the first equation by 6 and the second by 5, then subtract
.
30d + 1800m = 1800
30d + 1100m = 1625
--------------------
700m = 175
m = 175/700
m = 1/4 of $1 per mile
m = 25 cents per mile
.
substitute into first equation to find d.
.
5d + 300(1/4) = 300
5d + 75 = 300
5d = 225
d = 45
d = $45 dollars per day
.
Always check your work.
in this case, use the 2nd equation.
6d + 220m = 325
.
6d = 6(45) = 270
220m = 220*1/4 = 55
270+55 = 325
Correct.
.
Answer: The car rental company charge $45 per day plus $0.25 (25 cents) per mile.
.
Note that is is important to keep the units of measurement the same.
.
Done.

RELATED QUESTIONS
A car rental company charges $25 a day plus $.10 a mile. Maurice rented a car for 3 days (answered by rfer)

a car rental for $85 per day plus $0.35 for every mile driven more than 200 miles. If the (answered by ankor@dixie-net.com)

Joan rented the same car model twice from Hertz, which rents this car model daily fee... (answered by vleith)

Joan Gunderson rented the same car model twice from Hertz, which rents this car model for (answered by richwmiller)

Abel rented a car from Sunshine Car Rentals. He was charged $85 per day and $0.50 per... (answered by mananth)

A car rental company charges $25 a day plus $.10 a mile. If I rented a car for 3 days and (answered by elima)

John rented a car for $18 plus $0.10 per Km. George also rented a car for $25 plus $0.05... (answered by fractalier)

Mr.Engen rented a car for $35.00 a day an $0.45 per mile. He had the car for two days and (answered by mananth,amoresroy)

Mr.Engen rented a car for $35.00 a day an $0.45 per mile. He had the car for two days and (answered by caseyemm1982)