SOLUTION: There is a cookie jar filled with 45 cookies, if the cookies are distrubuted in A 2:3:4 RATIO among 3 children. What is the greatest number of cookies that any one child receives?

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Question 266433: There is a cookie jar filled with 45 cookies, if the cookies are distrubuted in A 2:3:4 RATIO among 3 children. What is the greatest number of cookies that any one child receives?
Answer by Edwin McCravy(20086) About Me  (Show Source):
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There is a cookie jar filled with 45 cookies, if the cookies are distrubuted in A 2:3:4 RATIO among 3 children. What is the greatest number of cookies that any one child receives?


The numbers in a ratio can always be multiplied or divided by any
positive number and the ratio is the same.  Divide each part of the
ratio 2:3:4 by the sum of the numbers 2+3+4=9.  Then we have the same
ratio

2%2F9:3%2F9:4%2F9

reduce the 3%2F9 to 1%2F3

2%2F9:1%2F3:4%2F9

Now multiply each number by 45:

45%282%2F9%29:45%281%2F3%29:45%284%2F9%29

10%3A15%3A20

So one child receives 10 cookies, one child receives 15 cookies,
and one child receives 20 cookies.

So the greatest of these is 20 cookies.

Edwin