MathDB
Mean scores

Source: AHSME 1991 problem 16

October 22, 2011
AMC

Problem Statement

One hundred students at Century High School participated in the AHSME last year, and their mean score was 100100. The number of non-seniors taking the AHSME was 50%50\% more than the number of seniors, and the mean score of the seniors was 50%50\% higher than that of the non-seniors. What was the mean score of the seniors?
<spanclass=latexbold>(A)</span> 100<spanclass=latexbold>(B)</span> 112.5<spanclass=latexbold>(C)</span> 120<spanclass=latexbold>(D)</span> 125<spanclass=latexbold>(E)</span> 150 <span class='latex-bold'>(A)</span>\ 100\qquad<span class='latex-bold'>(B)</span>\ 112.5\qquad<span class='latex-bold'>(C)</span>\ 120\qquad<span class='latex-bold'>(D)</span>\ 125\qquad<span class='latex-bold'>(E)</span>\ 150