SOLUTION: A man left #5720 to be shared among his son and 3 daughters each daughter  shared 3/4 of the Son shared,  how much did the son received

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Question 1101203: A man left #5720 to be shared among his son and 3 daughters each daughter  shared 3/4 of the Son shared,  how much did the son received
Found 2 solutions by greenestamps, richwmiller:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Since each of the three daughters got a share that was 3/4 of the son's share, we can represent the son's share by 4x and each daughter's share by 3x. Then since the total amount was 5720,

4x%2B3%283x%29+=+5720
13x+=+5720
x+=+440

The son's share was 4*#440 = #1760.
Each daughter's share was 3*#440 = #1320.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
5700=3s*3/4+s
5700=3s*3/4+s
5700=9s/4+s
5700=13s/4
4*5700=13s
4*5700/13=s
1753.84615385=son's share
3/4*4*5700/13=d
3*5700/13=d
1315.38461538=d
check
1315.38461538*3+1753.84615385=5699.99999999
close enough