Question

Write a system of equations to describe the situation below, solve using substitution, and fill

in the blanks.
Felix is a plumber, and his coworker Peter is an electrician. Felix charges customers a fee of
$46 just to come to their houses and then $3 per minute that he is there. Peter also charges
a fee of $114 for a home visit, plus an additional $1 per minute. Last week the coworkers
went to a job site together, spent the same amount of time working, and earned the same
amount. How much time did each one spend working? How much did each one earn?
Felix and Peter worked for
minutes, and each earned $

Answer 1

The cost must be $32 since that is the only cost possible for the 1st deal

Explanation:

Let C represent the total cost of each deal

Let T be the number of trips down the water slide

C = 32 for the 1st deal since the cost is the same regardless of how much she rides

C = 18 + T for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14 trips

The cost must be $32 since that is the only cost possible for the 1st deal