Difference between revisions of "2013 AMC 8 Problems/Problem 2"
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==Problem== | ==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? | + | A sign at the fish market says, "50<math>\%</math> off, today only: half-pound packages for just \$3 per package." What is the regular price for a full pound of fish, in dollars? |
<math>\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 9 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 12 \qquad \textbf{(E)}\ 15</math> | <math>\textbf{(A)}\ 6 \qquad \textbf{(B)}\ 9 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 12 \qquad \textbf{(E)}\ 15</math> | ||
Revision as of 21:18, 1 February 2023
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?
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 
dollars.
Solution 2
Let's say that a full pound at normal price costs 
dollars. Then, we can say that with the 50% off deal, the full pound would cost 
dollars. Taking a half pound of this would make the cost 
dollars for the deal. We know from the problem that this value is 
. We can form the equation 
. Solving for , we get 
. The answer is .
Video Solution
https://youtu.be/om14Kv2jCck ~savannahsolver
See Also
| 2013 AMC 8 (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 AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
