You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load.A. How many shifts must you work if you wish to wash 10 loads of laundry?B. How many loads of laundry can you wash if you work 3 shifts?C. How many loads of laundry will each shift pay for if the cost per load rises to 16 quarters?

Respuesta :

Answer:

A)You must work 2 shifts to wash 10 loads of laundry

B)You can wash 15 loads pf laundry if you work for 3 shifts

C) each shift will pay for 3.75 loads of laundry if the cost per load rises to 16 quarters

Explanation:

Given:

amount  earned =   12 dollars/hour

Duration for one shift = 75 minutes

Amount needed for Laundry = 12 quarters/load.

A. How many shifts must you work if you wish to wash 10 loads of laundry

To wash 10 loads, you will be requiring

=> [tex]10 \times 12 \text{quarters}[/tex]

=> 120 quarters

1 quarter = 0.25 dollars---------------------------------(1)

120 quarters

= [tex]120 \times 0.25 \text{ dollars}[/tex]

= 30 dollars

You need 30 dollars for washing 10 loads

In one hour i,e 60 minutes you earn=  12 dollars

In one minute the amount earned will be

[tex]= \frac {12}{60}[/tex]

= 0.2 dollar-------------------------------------------------------(2)

Now to earn 30 dollars you have to work for

=[tex]30 \times 0.2[/tex] minutes

= 150 minutes

Thus the number of shifts will be  

= [tex]\frac{150}{75}[/tex]

= 2 shifts

B. How many loads of laundry can you wash if you work 3 shifts

We Know that 1 shift =  75 minutes

So 3 shifts = [tex]75 \times 3[/tex] = 225 minutes

From (2),

In 1 minute = 0.2 dollars is earned

So in  225 minutes =  225 \ times 0.2 = 45 dollar is earned

45 dollar = [tex]45 \times 4[/tex] = 180 quarters

You can wash 1 load with 12 quarters

With 180 quarters you can wash = [tex]\frac{180}{12}[/tex] = 15 loads

C. How many loads of laundry will each shift pay for if the cost per load rises to 16 quarters

Cost per load = 16 quarters

From (1)

16 quarters = [tex]0.25 \times 16[/tex]  = 4 dollars per load

From (2) In 1 shift the amount earned will be

=> [tex]75 \times 0.2[/tex]

=15 dollars

With 4 dollars you can wash 1 load

So with 15 dollars = [tex]\frac{15}{4}[/tex] = 3.75 loads

As per the dish washer for the chemistry lab experiment in order to  make extra money for the laundry they need to ear about 12 dollars per hour and under each shift must last for about 75 minutes.

  • Since launder needs 12 dollars per load then you must have to work two shifts to wash the 10 loads of the laundry.  
  • As per the wash 15 loads of  the laundry have to work for at least 3 shifts . Each shift pays 3.75 per loads of laundry if price is to 16 quarters.

Learn kore about the a chemistry laboratory to make extra

brainly.com/question/20911512.