A sum of money is shared among three people in the ratio 15:18:7. Find the total sum and the largest share, given that the smallest share is $133.
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Answer:
if the ratio is
15 : 18 : 7
then there are
15 + 18 + 7 = 40 parts
the largest amount will be 18/40 = 9/20 of the total
the smallest will be 7/40 of the total
if 84 is the smallest amount
7/40 = 84/x
7x = 3360
x = 480
then the total is 480
480 * 9/20 = $216 would be the largest amount
7/40 = 105/x
7x = 4200
x = 600
600 * 9/20 = $270 would be the largest amount
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