MathDB
1993 AMC 12 #18 - Workdays

Source:

January 2, 2012
AMC

Problem Statement

Al and Barb start their new jobs on the same day. Al's schedule is 33 work-days followed by 11 rest-day. Barb's schedule is 77 work-days followed by 33 rest-days. On how many of their first 10001000 days do both have rest-days on the same day?
<spanclass=latexbold>(A)</span> 48<spanclass=latexbold>(B)</span> 50<spanclass=latexbold>(C)</span> 72<spanclass=latexbold>(D)</span> 75<spanclass=latexbold>(E)</span> 100 <span class='latex-bold'>(A)</span>\ 48 \qquad<span class='latex-bold'>(B)</span>\ 50 \qquad<span class='latex-bold'>(C)</span>\ 72 \qquad<span class='latex-bold'>(D)</span>\ 75 \qquad<span class='latex-bold'>(E)</span>\ 100