A team of two men, three women, four boys and six girls are to collect some lemons from an orchard. Each team member could shake X times as fast as he or she could pick, where X is a certain positive number.

• One woman can shake lemons exactly as fast as four boys can gather them.
• Two of the boys can shake 69 lemons off the trees as fast as three women and one boy can gather 50 lemons.
• Two of the girls can shake 70 lemons off the trees as fast as three girls and one woman can collectively gather 50 lemons.
• One man can shake 141 lemons from the trees as fast as a man, woman and girl can gather 100 lemons.
• Everyone worked the whole time, either shaking or gathering lemons.
• The group payment received by the team was $1240.

If the money is to be divided up based on how fast each member could pick and gather lemons, how much money should each team member get?

(In reply to Excel solution by Charlie)

Eventually got the algebra and the girls and boys sorted. The solution is the same as charlie's.

{man, woman, boy, girl}

{124.044,100.018,81.0926,61.2479}

Posted by goFish on 2005-11-04 12:26:23