SOLUTION: Mary,Bob, and Dylan contributed money to the college fund in the ratio of 3:5:8. If they contributed $464, how much did each person contribute to the fund?

Algebra ->  Proportions  -> Lessons  -> Proportions -> SOLUTION: Mary,Bob, and Dylan contributed money to the college fund in the ratio of 3:5:8. If they contributed $464, how much did each person contribute to the fund?      Log On


   



Question 524684: Mary,Bob, and Dylan contributed money to the college fund in the ratio of 3:5:8. If they contributed $464, how much did each person contribute to the fund?
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the proportion is 3:5:8, then there must be 3 + 5 + 8 = 16 portions, 3 of which were contributed by Mary, 5 by Bob (hope I didn't spell his name backwards), and 8 by Dylan. Divide the total by 16, then multiply by 3 to get Mary's amount, by 5 to get Bob's amount, and by 8 to get Dylan's amount.

John

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Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Rule:

To break a quantity Q down into parts in the ratio of 

      a:b:c

multiply Q by the fractions 

a%2F%28a%2Bb%2Bc%29, b%2F%28a%2Bb%2Bc%29, and c%2F%28a%2Bb%2Bc%29.

---------------------------------

We wish to break $464 down into parts in the ratio of
     
     3:5:8

so we multiply $464 by the fractions:

3%2F%283%2B5%2B8%29, 5%2F%283%2B5%2B8%29, and 8%2F%283%2B5%2B8%29,

or

3%2F16, 5%2F16, and 8%2F16

or 

3%2F16, 5%2F16, and 1%2F2
 
When we multiply we get:

3%2F16,

3%2F16×$464, 5%2F16×$464, and 1%2F2×$464

            $87, $145, and $232
  
So Mary contributed $87, Bob contributed $145, and Dylan contributed $232.

Edwin