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?

To find out how much money Shawn received, we need to divide the remaining amount after putting 15% into the joint savings account proportionally based on the number of hours worked.

Let's first calculate the total number of hours worked by all three friends:

Edgar: 17 1/4 hours

Kelly: 18 1/4 hours

Shawn: 14 1/2 hours

To add these fractions, we need a common denominator, which in this case is 4. Converting the fractions to have a denominator of 4, we get:

Edgar: 17 1/4 = 17 + 1/4 = 68/4 + 1/4 = 69/4

Kelly: 18 1/4 = 18 + 1/4 = 72/4 + 1/4 = 73/4

Shawn: 14 1/2 = 14 + 1/2 = 56/4 + 2/4 = 58/4

Adding these fractions together, we get:

69/4 + 73/4 + 58/4 = 200/4 = 50 hours

Now, let's calculate the amount of money that each friend should receive based on their proportion of hours worked.

First, we need to calculate the proportion of hours worked by each friend:

Edgar: 69/4 hours out of 50 total hours

Kelly: 73/4 hours out of 50 total hours

Shawn: 58/4 hours out of 50 total hours

Next, we divide the remaining amount after putting 15% into the joint savings account proportionally:

Total amount earned: $850

Amount in joint savings account: 15% of $850 = 0.15 * $850 = $127.50

Remaining amount: $850 - $127.50 = $722.50

Now, let's calculate the amount of money Shawn received:

Shawn's proportion of hours worked: 58/4 hours out of 50 total hours

Shawn's share of the remaining amount: (58/4) / 50 * $722.50 = $58.25

Therefore, Shawn received $58.25.

So, the answer is $58.25.