Question

Wilson is a plumber, and his coworker Jonathan is an electrician. Wilson charges customers a fee of $126 just to come to their houses and then $3 per minute that he is there. Jonathan also charges a fee of $151 for a home visit, plus an additional $2 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?

Answer 1

Let's have time in minutes as x.

Now we will make the next equation

3x+126 = 2x+151  First we will add number (-126) to the both sides and get

3x+126-126=2x+151-126 => 3x= 2x + 25

3x=2x+25 Now we will add monom (-2x) to the both sides and get

3x-2x=2x-2x+25 => x=25 minutes

They spent the same time 25 minutes and earned the same amount of money

Wilson earned  3*25+126= 75+126= $201

Jonathan earned 2*25+151=50+151= $201

Good luck!!!