Three friends own landscaping business. The number of hours each friend spent on the same project is hsown in the table below. In total, they earned $850 for the job. They put 15% of this amount into a joint savings account for furture expenses. They then divided the rest proportionally based on the number of hours each worked. How much money did Shawn receive.

Note: There is no table below. I'm assuming the hours each one worked to divide the earnings. You can put your own numbers and solve your own problem

Answer:

For Shane: 12*$722.50/34=$255

For Jane: 15*$722.50/34=$318.75

For Matthew: 7*$722.50/34=$148.75

Step-by-step explanation:

Proportions

It can be used to non-evenly distribute some quantity among n people, where each one deserves their share according to some common criteria. Let's think an amount of money M will be distributed among n people according to the number of hours each one worked for it. Let's assume each person worked some hours equal to a, b, c, d ... k, where a+b+c+d + ... k sum X. The fair distribution of M is:

For the first person: a. M/X

For the second person: b. M/X

For the third person: c. M/X

And so on. You can check the sum of all the shares is M

The question states three friends earned $850 in a common project. After putting 15% of it into a joint savings account, they divided the rest proportionally based on the number of hours each worked.

The amount to divide is 85% of their earnings since 15% will go to the bank

M=0.85*850=$722.50

The table is never shown, but let's assume the following

Shane worked 12 hours

Jane worded 15 hours

Matthew worked 7 hours

Total hours: X=34

The division will be

For Shane: 12*$722.50/34=$255

For Jane: 15*$722.50/34=$318.75

For Matthew: 7*$722.50/34=$148.75