Problema Solution

3.Jesse rents a moving van for $75 and must pay $2 per mile. The following week, Alex rents the same van, is charged $80 for the rental and $1.50 per mile. If they each paid the same amount and drove the same number of miles, how far did they each travel?

Answer provided by our tutors

Let x be the number of miles jesse goes.

Let y be the number of miles jesse goes.


Cost= 2x+75

Cost= 1.5x +80


SINCE their cost is the SAME, therefore their equations are equal to each other:


2x +75= 1.5x +80


2x -1.5x = 80 -75


1/2x = 5


x= 5/1 / 1/2


x= 5/1 * 2/1


x= 10/1


x=10


Therefore they each drove 10 miles.