Ravi will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $59.96 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $69.96 and costs an additional $0.10 per mile driven. How many miles would Ravi need to drive for the two plans to cost the same?

Answer: Ravi would drive 250 miles for both plans to cost the same.

Step-by-step explanation:

Let x represent the number of miles for which Ravi needs to drive for the two plans to cost the same.

The first plan has an initial fee of $59.96 and costs an additional $0.14 per mile driven. It means that the cost of driving x miles with this plan is

0.14x + 59.96

The second plan has an initial fee of $69.96 and costs an additional $0.10 per mile driven. It means that the cost of driving x miles with this plan is

0.1x + 69.96

For both plans tho be the same, the number of miles would be

0.14x + 59.96 = 0.1x + 69.96

0.14x - 0.1x = 69.69 - 59.69

0.04x = 10

x = 10/0.04

x = 250