Question

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.

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

Please do explain in simple terms and equations. I suck at math, thank you!

Answer 1

It would pay with 3 loads

Answer 2

Answer: 3.75 per shift

Explanation:

Given : The amount earned by laundry = 12 dollars / hour

Since 1 dollar = 4 quarters.

Then, amount earned per hour=
`4*12=48` quarters per hour.

[By unitary method]

The time period for each shift = 75 minutes

Since 1 hour = 60 minutes

Then , 1 minute =
`(1)/(60)` hours [By unitary method]

Now, 75 minutes =
`75*(1)/(60)=1.25` hours

Now, the total amount earned from each shift will be:-

`1.25*48=60` quarters

Now , the cost of laundry= 12 quarters/load

The cost of load after increment = 16 quarters

Then, the number of loads can be washed :-

`\frac{\text{Total amount earned from each shift}}{\text{Cost of load after increment}}\\\\=(60)/(16)=3.75`

Hence, number of loads of laundry = 3.75 per shift