Copyright © University of Cambridge. All rights reserved.

## 'Good Work If You Can Get It' printed from http://nrich.maths.org/

A job needs three men to work for two weeks ($10$ working
days).

Andy works for all $10$ days.

Bert works for the first week and Clive works for the second
week.

Dave works for $6$ days, but then is too sick to work.

Eddy takes his place for $3$ days, then Fred does the last day.

When the job is finished they are all paid the same amount. At
first they could not work out how much each man should have, but
then Fred says:

"If I give my wages to Andy, and Eddy gives £$100$ to
both Dave and me, then the wages will be correct".

How much was paid for the whole job, and how much does each man
get?