Systems & Equations:
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $ 123.00 for 3 days and 300 miles, while Mary was charged $ 216.00 for 5 days and 600 miles. What does Best Rental charge per day, for mileage?

Question

Systems & Equations: 
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $ 123.00 for 3 days and 300 miles, while Mary was charged $ 216.00 for 5 days and 600 miles. What does Best Rental charge per day, for mileage?

gw2011 · Answer

Let x=daily fee
Let y=mileage fee

3x+300y=123   Multiply by 5 to eliminate x
5x+600y=216   Multiply by -3 to eliminate x

15x+1500y=615
-15x-1800y=-648

-300y=-33
y=-33/-300=0.11
y=11 cents per mile

3x+300(0.11)=123
3x+33=123
3x=90
x=$30 daily fee

Therefore, Best Rental charges a daily fee of $30 and 11 cents mileage fee

anonymous · Answer

Thanks.