A factory worker earns $150 each day plus $5.25 for each widget that he makes. If he earned $370.50 for one day of work, how many widgets did he make?

42

Step-by-step explanation:

To find out how many widgets he made, you need to find out how much money was earned from all the widgets he made. You know that one day only earns $150 without any widgets but the factory worker earned $370.50 so the difference would be the amount of money earned from the extra widgets.

Amount of money earned from widgets = $370.50 - $150

                                                                  = $220.50

You know each widget costs $5.25, so you can find out how many widgets were made.

No. of widgets made = $220.50 ÷ $5.25

                                   = 42

42

Step-by-step explanation:

use the linear equation

y = 5.25x +150 x represents the amount of widgets made and y is the amount earned each day

plug in 370.50 for y then solve for x

370.50 = 5.25x + 150

220.50 = 5.25x

42 = x

so he made 42 widgets

so, converting firstly the mixed fractions to improper fractions and then "adding".