Question

Jana needs to rent a moving van for one day. Reliable Rentals charges $20 for the day and $0.50

for each mile. Dependable Rentals charges $10 for the day and $0.80 for each mile. Jana wrote
and solved the equation below to find the number of miles for which the costs of renting from the
companies will be the same. She used m to represent the number of miles.
20-0.5m= 10+ 0.8m
20= 10 + 1.3m
10 = 1.3m
= 13 = 100 = 77/3
The costs will be equal if the van is driven about 8 miles.
m=

Answer 1

20 + .50M = 10 + .80M subtract .50M, 10 from both sides

10 = .30M divide both sides by .30

10 / .30 = M = about 33 + 1/3 miles driven equalize the cost

[Jana used " -.50M" in the original set up instead of " +.50M" ]

Explanation: