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When I say allowance, I mean like the kind you earned as a child. Here is the problem I am trying to solve. A parent has $20 they want to give to the child for doing all of their chores. If the child does all of their chores, they get 100% of their allowance. However is thy only do some of their chores they only get a percentage of their allowance. Here is my kicker. Not all chores are weighed the same.
The chores are weighted:

  • Big chores = 10
  • Medium chores = 5
  • Small chores = 1

If the parent setups a set of chores for the week:

  • 2 big chores(paint house, change oil)
  • 4 medium chores(clean room)
  • 7 small chores(brush teeth, wash dishes)

At the end of the week, the child only does:

  • 1 big chores(paint house)
  • 2 medium chores(clean room)
  • 3 small chores(brush teeth)

I am unsure how to calculate how much allowance the child gets and what the distributions per-chore would be for the $20. Could someone point me in the right directions? The reason I have this question is because I am building an IOS app to help parents and children manage household duties. Please forgive me if I tagged this question wrong, as I am not sure what tag this falls under.

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If you look at the FAQ mathoverflow.net/faq, you will see that MathOverflow is for research-level math questions only. In the FAQ, you will also find suggestions of other sites where this question would be appropriate. – Zev Chonoles May 18 2011 at 4:49

closed as off topic by Zev Chonoles, Andy Putman, Yemon Choi, Mark Sapir, Gerry Myerson May 18 2011 at 5:59

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