[math puzzle] Payment in fraction of gold bars. - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Calculators (and very old HP Computers) (/forum-3.html) +--- Forum: General Forum (/forum-4.html) +--- Thread: [math puzzle] Payment in fraction of gold bars. (/thread-10359.html) [math puzzle] Payment in fraction of gold bars. - pier4r - 03-20-2018 10:06 PM You are a generous employer. You pay one of your employee with one gold bar each week. The point is that you pay him with 1/7 of the gold bar each day of the week. The gold bar is a prism with trapezoid base or, simplified, with a rectangular base. What is the minimum amount of cuts that one need to do to be able to pay the employee? A guy in the MathJam meeting today was able to find a really "out of the box" but valid solution (in payments terms, with the employee cooperation) with only 2 cuts. Really neat. Also this problem for me could be linked to the egyptian fraction problems. RE: [math puzzle] Payment in fraction of gold bars. - SlideRule - 03-20-2018 11:06 PM Cut the bar into 3 unequal pieces as follows: piece 1; 1/7 of the total bar from the left end = P1 piece 2: 2/7 of the total bar from the right end = P2 piece 3; 4/7 of the remaining bar = P4 Day 1 = +P1 Day 2 = -P1+P2 Day 3 = +P1+P2 Day 4 = -P1-P2+P4 Day 5 = +P1+P4 Day 6 = -P1+P2+P4 Day 7 = +P1+P2+P4 If you ignore the P, the +#'s add to the desired daily amount ps: (+) mean give to employee & (-) means take from employee BEST! SlideRule