1986 AJHSME Problems/Problem 10

Problem

A picture $3$ feet across is hung in the center of a wall that is $19$ feet wall. How many feet from the end of the wall is the nearest edge of the picture?

$\text{(A)}\ 1\frac{1}{2} \qquad \text{(B)}\ 8 \qquad \text{(C)}\ 9\frac{1}{2} \qquad \text{(D)}\ 16 \qquad \text{(E)}\ 22$

Solution

Let's say that the distance from the picture to the wall is $x$ . Since that distance will be on both sides of the picture (it's in the exact middle), we can say that $\begin{align*} x + 3 + x = 19 &\Rightarrow 2x+3=19 \\ &\Rightarrow 2x=16 \\ &\Rightarrow x=8 \\ \end{align*}$

$\boxed{\text{B}}$

1986 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
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1986 AJHSME Problems/Problem 10

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