Question

Your car needs fixed. You have The Choice between 2 companies. Company A charges $120 for parts and $50 per hour. Company B charges $60 for parts and $65 per hour. How many hours before you pay the same amount for both companies?

Answer 1

Answer: it would take 12 hours before you pay the same amount for both companies.

Step-by-step explanation:

Let x represent the number of hours that you spend at either company A or company B

Let y represent the total amount paid for x hours at company A

Let z represent the total amount paid for x hours at company B

Company A charges $120 for parts and $50 per hour. This means that the total amount for x hours would be

y = 50x + 120

Company B charges $60 for parts and $65 per hour. This means that the total amount for x hours would be

z = 65x + 60

To determine the number of hours before the amount for both companies becomes the same, we would equate y to z. It becomes

50x + 120 = 65x + 60

65x - 50x = 120 - 60

5x = 60

x = 12