SOLUTION: Could someone plese help me with this? Thank You! Cars Plus charges a daily fee plus a mileage fee for renting its cars. Lance was charged $156 for 3 days and 300 miles, while L

Question 136565: Could someone plese help me with this? Thank You!
Cars Plus charges a daily fee plus a mileage fee for renting its cars. Lance was charged $156 for 3 days and 300 miles, while Linda was charged $284 for 5 days and 600 miles. What does Cars Plus charge per day and per mile?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Cars Plus charges a daily fee plus a mileage fee for renting its cars. Lance was charged $156 for 3 days and 300 miles, while Linda was charged $284 for 5 days and 600 miles. What does Cars Plus charge per day and per mile?
:
Let x = per mile fee
Let y = daily fee
;
Write an equation for each transaction:
:
Mileage cost + daily cost = total cost
:
300x + 3y = 156
600x + 5y = 284
:
Multiply 1st equation by 2, subtract the 2nd equation:
600x + 6y = 312
600x + 5y = 284
----------------subtracting eliminates x, find y
0x + y = 28
y = $28 per day
:
Find x using the 1st equation, substitue 28 for y:
300x + 3(28) = 156
300x + 84 = 156
300x = 156 - 84
x =
x = $.24 per mile
:
Check solutions in the 2nd equation:
600(.24) + 5(28) =
144 + 140 = 284 confirms our solutions
:
:
Did this make sense to you? Any questions?

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