SOLUTION: Bob, Rob, and Chuck invest $13,000, $22,000, and $18,000, respectively, to build a yacht. After the yacht was built, Bob decided to sell his share of the investment to Rob and Chuc

Algebra ->  Equations -> SOLUTION: Bob, Rob, and Chuck invest $13,000, $22,000, and $18,000, respectively, to build a yacht. After the yacht was built, Bob decided to sell his share of the investment to Rob and Chuc      Log On


   

Question 1135582: Bob, Rob, and Chuck invest $13,000, $22,000, and $18,000, respectively, to build a yacht. After the yacht was built, Bob decided to sell his share of the investment to Rob and Chuck. How much would Rob and Chuck have to pay Bob if they want to maintain the same ratio of their investment in the yacht?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52777) About Me  (Show Source):
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To answer the question, you should divide the Bob's investment of $13000 proportionally to the ratio 

of the Rob and Chuck investments Rob%2FChuck = 22000%2F18000.


It is easy to do using proportions.


The sum of the Rob and Chuck investments is $22000 + $18000 = $40000.


Therefore, the Rob's part to pay is the term x in this proportion


    x%2F13000 = 22000%2F40000 = 22%2F40 = 11%2F20;


hence,  x = 13000%2A%2811%2F20%29 = 7150 dollars.


Thus the Rob's part to pay is  $7150, and the Chuck's part to pay is the rest $13000 - $7150 = $5850.

Solved.

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Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio in which Rob and Chuck contributed to the original investment is 22000:18000 = 11:9. So the $13,000 Bob receives in payment from Rob and Chuck needs to be divided in that same ratio.

Using a standard method for solving ratio problems...

let 11x be the amount Rob pays to Bob
let 9x be the amount Chuck pays to Bob

11x+9x = 13000
20x = 13000
x = 650

The amount Rob should pay Bob is 11x = $7150; the amount Chuck should pay Bob is 9x = $5850.