Applied Problems Involving Fractions
We will follow the same method from 181A to solve applied problems that involve fractions.
The width of a piece of paper is 8½ inches. If you want the left and right margins to be 2/3 inches, what is the width of the written part of the page?
We begin by stating our goal:
"The width of the written part of the page is inches"
Next draw the picture letting x be the width of the written
We see that the total width of 8½ is made up of the two margins and the written space. The margins take up
If we take away the margin width from the paper width, we get the width of the writing, that is
17 x 3 2 x 2
We can conclude that
The width of the written part of the page is 7 5/6 inches.
You earn 6½ dollars per hour at your job. For over time work you get 1½ times your wages. If you work 4 hour of overtime, how much overtime pay will you get?
We begin by writing our goal:
"I will earn $ ."
Because of the word "times" we see that this is a multiplication problem. We write
"I will earn $ 39 ."