SOLUTION: Hi betty Joanna and David shared a sum of money. Bettys share was half of the total amount received by Joanna and David. Joanna s share was 1/5 of the sum of money. If Betty recei

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi betty Joanna and David shared a sum of money. Bettys share was half of the total amount received by Joanna and David. Joanna s share was 1/5 of the sum of money. If Betty recei      Log On

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Question 1106924: Hi
betty Joanna and David shared a sum of money. Bettys share was half of the total amount received by Joanna and David. Joanna s share was 1/5 of the sum of money. If Betty received 80 dollars more than Joanna, what was the original sum of money.
Thanks
Answer by greenestamps(13198) About Me  (Show Source):
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If Betty's share was half the sum of the other two, then Betty's share was 1/3 of the total.

Joanna's 1/5 share was $80 less than Betty's share:

%281%2F3%29x-%281%2F5%29x+=+80
%282%2F15%29x+=+80
x+=+%2815%2F2%29%2A80+=+600

The sum was $600.