Question

Question #1fda4

Answer 1

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

`"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"`

`= " 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"))))`

`=" 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"))))`

`color(green)(|bar(ul(color(white)(a/a)color(black)(=" 2 shifts")color(white)(a/a)|)))`