Question

Jack charges $40 initial fee plus $30 an hour to work on vehicles. Mark charges $25 an hour with a $50 initial fee. to work on vehicles. At what number of hours do they charge the same amount? How much is this amount?

Write the system.

Answer 1

Explanation:

A.)

Let the equal number of hours be represented by variable h;

The two equations will be as follows;

Jack; 40 +30h

Mark; 50 +25h

Next, equate them;

40 + 30h= 50 + 25h

30h - 25h = 50 - 40

5h = 10

h =10/5

h = 2

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30h = 40 + (30*2)

=40 + 60

= $100