# 1995 AJHSME Problems/Problem 17

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## Problem

The table below gives the percent of students in each grade at Annville and Cleona elementary schools:

$$\begin{tabular}{rccccccc}&\textbf{\underline{K}}&\textbf{\underline{1}}&\textbf{\underline{2}}&\textbf{\underline{3}}&\textbf{\underline{4}}&\textbf{\underline{5}}&\textbf{\underline{6}}\\ \textbf{Annville:}& 16\% & 15\% & 15\% & 14\% & 13\% & 16\% & 11\%\\ \textbf{Cleona:}& 12\% & 15\% & 14\% & 13\% & 15\% & 14\% & 17\%\end{tabular}$$

Annville has 100 students and Cleona has 200 students. In the two schools combined, what percent of the students are in grade 6?

$\text{(A)}\ 12\% \qquad \text{(B)}\ 13\% \qquad \text{(C)}\ 14\% \qquad \text{(D)}\ 15\% \qquad \text{(E)}\ 28\%$

## Solution

By the tables, Annville has $11$ 6th graders and Cleona has $34$. Together they have $45$ 6th graders and $300$ total students, so the percent is $\frac{45}{300}=\frac{15}{100}= \boxed{\text{(D)}\ 15\%}$