I really need help with this word problem. I am totally stumped.I realize

## 3 people put in money one put 9,000 one put 7,000 one put 4,000 profit was 4,800 how much would the one who put 4,000 get of profit

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# 2 Answers

So we start with the total amount and find out the proportion that each person invested -

Total amount - 9,000 + 7,000 + 4,000 = 20,000

Then we find out what proportion each one put in

9,000/20,000 = 45% or 0.45

7,000/20,000 = 35% or 0.35

4,000/20,000 = 20% or 0.20

It's a good idea to make sure your 3 figures add up to 100% or 1.00 before you go further!

Then, when you know that the third person put in 20% or 0.20 of the investment, then that person should also get 20% or 0.20 of the profit. So you multiply the profit by the decimal amount:

4,800 * 0.20 = $960

If you really wanted to be thorough, you could calculate everyone's share to make sure it adds up to the total profit.

Profit must be shared in the ratio of investment

i.e. 9:7:4

Total profit = 4800

Split 4800 in 9:7:4 ratio

9x + 7x + 4x = 4800

20x = 4800

x= 240

Person investing 4000 will get 4x profit = 4 x 240 = 960

:)