1992 AJHSME Problems/Problem 9

Problem 9

The population of a small town is $480$ . The graph indicates the number of females and males in the town, but the vertical scale-values are omitted. How many males live in the town?

$[asy] draw((0,13)--(0,0)--(20,0)); draw((3,0)--(3,10)--(8,10)--(8,0)); draw((3,5)--(8,5)); draw((11,0)--(11,5)--(16,5)--(16,0)); label("$\textbf{POPULATION}$",(10,11),N); label("$\textbf{F}$",(5.5,0),S); label("$\textbf{M}$",(13.5,0),S); [/asy]$

$\text{(A)}\ 120 \qquad \text{(B)}\ 160 \qquad \text{(C)}\ 200 \qquad \text{(D)}\ 240 \qquad \text{(E)}\ 360$

Solution

The graph show that the ratio of men to total population is $\frac{1}{3}$ , so the total number of men is $\frac{1}{3} \times 480= \boxed{\text{(B)}\ 160}$ .

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1992 AJHSME Problems/Problem 9

Problem 9

Solution