# Question 1fda4

Aug 29, 2016

You need to work $2$ shifts.

#### Explanation:

All you have to do here is use a series of conversion factors to help you go from dollars an hour to quarters a shift.

Knowing how many quarters you make in one shift will then allow you to calculate how many shifts are needed to wash $10$ loads of laundry.

So, you know that you make 12$ per hour. Since you know what 1$ = "4 quarters"

and that

$\text{1 hour " = " 60 minutes}$

you can say that one shift, which is said to last $75$ minutes, will get you

12 color(red)(cancel(color(black)($)))/color(red)(cancel(color(black)("hour"))) * "4 quarters"/(1color(red)(cancel(color(black)($)))) * (1color(red)(cancel(color(black)("hour"))))/(60 color(red)(cancel(color(black)("minutes")))) * (75 color(red)(cancel(color(black)("minutes"))))/"1 shift"

$= \text{ 60 quarters / shift}$

You also know that you need to wash $10$ loads of laundry and that each one requires $12$ quarters, which means that you'll need a total of

10 color(red)(cancel(color(black)("loads of laundry"))) * "12 quarters"/(1color(red)(cancel(color(black)("load of laundry"))))

$= \text{ 120 quarters}$

So, you need $120$ quarters and make $60$ quarters per shift, which means that you'll need to work

120 color(red)(cancel(color(black)("quarters"))) * "1 shift"/(60color(red)(cancel(color(black)("quarters"))))#

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{= \text{ 2 shifts}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$