2000 PMWC Problems/Problem I14

Problem

A copy machine has a following enlargement/reduction buttons:

\[\begin{tabular}{|l|l|l|l|l|l|l|} \hline 250\% & 200\% & 128\% & 125\% & 100\% & 50\% & 10\% \\ \hline \end{tabular}\]

The buttons $\boxed{50\%}$, $\boxed{100\%}$, and $\boxed{250\%}$ are out of order and cannot be used any more. Sam wants to make a copy that is the same size as the original document by using the remaining buttons. When he presses a button, he has to pay $\textdollar 1$. What is the minimum amount he has to pay?

Solution

See Also