Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $50 and costs an additional $0.40 per mile driven. How many miles would Abdul need to drive for the two plans to cost the same?

3 answers

Let's represent the number of miles driven as x.

For the first plan, the total cost can be calculated as 0.90x.

For the second plan, the total cost can be calculated as 50 + 0.40x.

To find the number of miles needed for the two plans to cost the same, we need to set up an equation:

0.90x = 50 + 0.40x

0.90x - 0.40x = 50

0.50x = 50

x = 50 / 0.50

x = 100

Therefore, Abdul would need to drive 100 miles for the two plans to cost the same.
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $17 monthly fee and charges an additional $0.09 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Let's represent the number of minutes of calls as m.

For the first plan, the total cost can be calculated as 9 + 0.13m.

For the second plan, the total cost can be calculated as 17 + 0.09m.

To find the number of minutes of calls for the costs of the two plans to be equal, we need to set up an equation:

9 + 0.13m = 17 + 0.09m

0.13m - 0.09m = 17 - 9

0.04m = 8

m = 8 / 0.04

m = 200

Therefore, the costs of the two plans will be equal for 200 minutes of calls.