2014 AMC 12A Problems

Problem 1

What is $10 \cdot \left(\tfrac{1}{2} + \tfrac{1}{5} + \tfrac{1}{10}\right)^{-1}?$

$\textbf{(A)}\ 3\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ \frac{25}{2}\qquad\textbf{(D)}}\ \frac{170}{3}\qquad\textbf{(E)}\ 170$ (Error compiling LaTeX. Unknown error_msg)

Problem 2

At the theater children get in for half price. The price for $5$ adult tickets and $4$ child tickets is $$24.50$ . How much would $8$ adult tickets and $6$ child tickets cost?

$\textbf{(A) }\text{$ (Error compiling LaTeX. Unknown error_msg)}35\qquad \textbf{(B) }$38.50\qquad \textbf{(C) }$40\qquad \textbf{(D) }$42\qquad \textbf{(E) }$42.50$

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Problem 10

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Problem 12

Problem 13

Problem 14

Problem 15

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Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

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