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?

Question

Gaines

Mathematics

1 April, 18:46

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?

+3

Answers (1)

Know the Answer?

Kiley · Answer 1

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