Q:

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 hoursKelly: 18 1/4 hoursShawn: 14 1/2In 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?

Accepted Solution

A:
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.

[tex] \frac{14.5}{17.25+18.25+14.5}= \frac{14.5}{50}= \frac{29}{100} [/tex]

[tex] \frac{29}{100} [/tex] 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:

[tex]850*0.85=722.50[/tex]

We then find Shawn's share by multiplying $722.50 by [tex] \frac{29}{100} [/tex].

[tex] \frac{29}{100}*722.50=209.53 [/tex]

ANSWER: Shawn received $209.53.