Difference between revisions of "2014 AMC 12A Problems/Problem 2"
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Revision as of 13:28, 8 February 2014
Problem
At the theater children get in for half price. The price for 
adult tickets and 
child tickets is 
. How much would 
adult tickets and 
child tickets cost?
Solution
Suppose 
is the price of an adult ticket. The price of a child ticket would be 
.
\begin{eqnarray*}
5x + 4(x/2) = 7x &=& 24.50\\
x &=& 3.50\\
\end{eqnarray*} (Error compiling LaTeX. Unknown error_msg)
Plug in for 8 adult tickets and 6 child tickets.
\begin{eqnarray*}
8x + 6(x/2) &=& 8(3.50) + 3(3.50)\\
&=&\boxed{\textbf{(B)}\ \ 38.50}\\
\end{eqnarray*} (Error compiling LaTeX. Unknown error_msg)
See Also
| 2014 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 1 |
Followed by Problem 3 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
