Question

Three friends own a landscaping business. The number of hours each friend worked on the same project is shown in the table below.

Edgar: 17 1/4 hours
Kelly: 18 1/4 hours
Shawn: 14 1/2
In total, they earned $850 for the job. They put 15% of this amount into a joint savings account for future expenses. They then decided the rest of proportionally based on the number of hours worked. How much money did Shawn receive?

Answer 1

I think it's $209.53.

Answer 2

Hi!

To find the fraction of the payment owed to Shawn, we just need to divide the hours he's worked by the total number of hours the three of them worked.


`(14.5)/(17.25+18.25+14.5)= (14.5)/(50)= (29)/(100)`


`(29)/(100)` of the payment is therefore owed to Shawn.

Since the three friends deposited 15% of the money they earned to a joint savings account, they will only have 85% of their earnings to keep. Solving for this amount we'll get:


`850*0.85=722.50`

We then find Shawn's share by multiplying $722.50 by
`(29)/(100)`.


`(29)/(100)*722.50=209.53`

ANSWER: Shawn received $209.53.