# 1992 AJHSME Problems/Problem 11

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## Problem

The bar graph shows the results of a survey on color preferences. What percent preferred blue?

$[asy] for (int a = 1; a <= 6; ++a) { draw((-1.5,4*a)--(1.5,4*a)); } draw((0,28)--(0,0)--(32,0)); draw((3,0)--(3,20)--(6,20)--(6,0)); draw((9,0)--(9,24)--(12,24)--(12,0)); draw((15,0)--(15,16)--(18,16)--(18,0)); draw((21,0)--(21,24)--(24,24)--(24,0)); draw((27,0)--(27,16)--(30,16)--(30,0)); label("20",(-1.5,8),W); label("40",(-1.5,16),W); label("60",(-1.5,24),W); label("\textbf{COLOR SURVEY}",(16,26),N); label("\textbf{F}",(-6,25),W); label("\textbf{r}",(-6.75,22.4),W); label("\textbf{e}",(-6.75,19.8),W); label("\textbf{q}",(-6.75,17.2),W); label("\textbf{u}",(-6.75,15),W); label("\textbf{e}",(-6.75,12.4),W); label("\textbf{n}",(-6.75,9.8),W); label("\textbf{c}",(-6.75,7.2),W); label("\textbf{y}",(-6.75,4.6),W); label("D",(4.5,.2),N); label("E",(4.5,3),N); label("R",(4.5,5.8),N); label("E",(10.5,.2),N); label("U",(10.5,3),N); label("L",(10.5,5.8),N); label("B",(10.5,8.6),N); label("N",(16.5,.2),N); label("W",(16.5,3),N); label("O",(16.5,5.8),N); label("R",(16.5,8.6),N); label("B",(16.5,11.4),N); label("K",(22.5,.2),N); label("N",(22.5,3),N); label("I",(22.5,5.8),N); label("P",(22.5,8.6),N); label("N",(28.5,.2),N); label("E",(28.5,3),N); label("E",(28.5,5.8),N); label("R",(28.5,8.6),N); label("G",(28.5,11.4),N); [/asy]$

$\text{(A)}\ 20\% \qquad \text{(B)}\ 24\% \qquad \text{(C)}\ 30\% \qquad \text{(D)}\ 36\% \qquad \text{(E)}\ 42\%$

## Solution

The total frequency is $50+60+40+60+40=250$, with the blue frequency of $60$. Therefore, the precentage that preferred blue is $\frac{60}{250}=\boxed{\text{(B)}\ 24\%}$.