MathDB
2013/8/16/Community service projects

Source:

November 27, 2013
ratioAMC

Problem Statement

A number of students from Fibonacci Middle School are taking part in a community service project. The ratio of 8th8^\text{th}-graders to 6th6^\text{th}-graders is 5:35:3, and the the ratio of 8th8^\text{th}-graders to 7th7^\text{th}-graders is 8:58:5. What is the smallest number of students that could be participating in the project?
<spanclass=′latex−bold′>(A)</span> 16<spanclass=′latex−bold′>(B)</span> 40<spanclass=′latex−bold′>(C)</span> 55<spanclass=′latex−bold′>(D)</span> 79<spanclass=′latex−bold′>(E)</span> 89<span class='latex-bold'>(A)</span>\ 16 \qquad <span class='latex-bold'>(B)</span>\ 40 \qquad <span class='latex-bold'>(C)</span>\ 55 \qquad <span class='latex-bold'>(D)</span>\ 79 \qquad <span class='latex-bold'>(E)</span>\ 89
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