Question #1fda4

1 Answer
Aug 29, 2016

Answer:

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)|)))#