Aldo will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee and costs $0.70 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.60 per mile driven. How many miles would Aldo need to drive for the two plans to cost the same?

Aldo needs to drive 650 miles for the two plans to cost the same.

Step-by-step explanation:

1. Let's review the information given to solve the case:

First plan = no initial fee and costs $0.70 per mile driven.

Second plan = initial fee of $65 and costs an additional $0.60 per mile driven.

Miles driven to have the same cost = x

2. How many miles would Aldo need to drive for the two plans to cost the same? Let's use the following equation:

0.70x = 65 + 0.60x

0.70x - 0.60x = 65 (Subtracting - 0.60x at both sides)

0.10x = 65

x = 650 (Muliplying by 10 at both sides)

Aldo needs to drive 650 miles for the two plans to cost the same.

3. Let's prove that x = 650 is correct.

0.70 (650) = 65 + 0.6 (650)

455 = 65 + 390

455 = 455

The value of x is correct