SOLUTION: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two       Log On


   

Question 356794: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two days plus 10 cents per mile. How many miles does Tom need to drive for the two plans to cost the same?
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two days plus 10 cents per mile. How many miles does Tom need to drive for the two plans to cost the same?

first plan
51.98 + 0.12x
second plan
55.98 + 0.10x
set 2 plans equal and solve for x
51.98 + 0.12x = 55.98 + 0.10x
0.12x - 0.10x = 55.98 - 51.98
0.02x = 4
x = 200 miles for the two plans to cost the same


check:
51.98 + 0.12(200) = 51.98 + 24 = 75.98
55.98 + 0.10(200) = 55.98 + 20 = 75.98, at 200 miles both equal