Difference between revisions of "1986 AJHSME Problems/Problem 10"

(New page: ==Problem== A picture <math>3</math> feet across is hung in the center of a wall that is <math>19</math> feet wall. How many feet from the end of the wall is the nearest edge of the pict...)
 
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==Solution==
 
==Solution==
  
{{Solution}}
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Let's say that the distance from the picture to the wall is <math>x</math>. Since that distance will be on both sides of the picture (it's in the exact middle), we can say that...
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<math>x + 3 + x = 19</math>
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<math>2x = 16</math>
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<math>x = 8</math>
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B
  
 
==See Also==
 
==See Also==
  
 
[[1986 AJHSME Problems]]
 
[[1986 AJHSME Problems]]

Revision as of 19:10, 24 January 2009

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...

$x + 3 + x = 19$

$2x = 16$

$x = 8$

B

See Also

1986 AJHSME Problems