2013 AMC 8 Problems/Problem 2

Problem

A sign at the fish market says, "50% off, today only: half-pound packages for just $3 per package." What is the regular price for a full pound of fish, in dollars?

$\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 9 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 12 \qquad \textbf{(E)}\ 15$

Solution

The 50% off price of half a pound of fish is $3, so the 100%, or the regular price, of a half pound of fish is $6. Consequently, if half a pound of fish costs $6, then a whole pound of fish is $\boxed{\textbf{(D)}\ 12}$ dollars.

Solution 2

Let's say that a full pound at normal price costs $x$ dollars. Then, we can say that with the 50% off deal, the full pound would cost $x/2$ dollars. Taking a half pound of this would make the cost $x/4$ dollars for the deal. We know from the problem that this value is $3$. We can form the equation $x/4 = 3$. Solving for $x$, we get $x=12$. The answer is $\boxed{\textbf{(D)}\ 12}$.

Video Solution

https://youtu.be/om14Kv2jCck ~savannahsolver

See Also

2013 AMC 8 (ProblemsAnswer KeyResources)
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 AJHSME/AMC 8 Problems and Solutions

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