Question

Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $111.00 for 3 days and 300 miles, while Mary was charged $207.00 for 5 days and 600 miles.What does Best Rentals charge per day and per mile?

Answer 1

first set up 2 equations:

Answer 2

how would those two equations look like ?

Answer 3

300m/3d=111 and 600m/5d=207

Answer 4

now what you do is isolate one variable on one equation so that you can substitute

Answer 5

what are our two variables ? I'm a bit confused

Answer 6

so you are solving for the cost per miles and for the days

Answer 7

so m=miles and d=days

Answer 8

if 300miles per 3 days costs 111 dollars, you can write that algebraically like i did above

Answer 9

okay and to isolate i would have to multiply both sides by 3m and 5d?

Answer 10

so first you take one equation, and isolate one variable

Answer 11

300m/3d=111, becomes 100m/d=111 then multiply by d on both sides, 100m=111d, and divide by 111 on both sides. d=100/111

Answer 12

now plug that value into the other equation to find the value of m

Answer 13

okay thank you! that helps me more!