Difference between revisions of "2003 AMC 8 Problems/Problem 8"

(Created page with "(A) Art is the right answer because out of all the cookies, Art's had an area of 10 in^2, which was the greatest area out of all the cookies' areas. Roger's cookie had an area of...")
 
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(A) Art is the right answer because out of all the cookies, Art's had an area of 10 in^2, which was the greatest area out of all the cookies' areas. Roger's cookie had an area of 8 in ^2, and both Paul and Trisha's cookies had an area of 6 in^2. This means Art makes less cookies, since his cookie area is the greatest. The answer is not that there is a tie between Paul and Trisha because they can make the most cookies with a given amount of cookie dough, not the least.
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==Solution==
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<math> \textbf{(A)}</math> Art is the right answer because out of all the cookies, Art's had an area of <math>12 \text{ in}^2</math>, which was the greatest area out of all the cookies' areas. Roger's cookie had an area of <math>8 \text{ in} ^2</math>, and both Paul and Trisha's cookies had an area of <math>6 \text{ in}^2</math>. This means Art makes less cookies, since his cookie area is the greatest. The answer is not that there is a tie between Paul and Trisha because they can make the most cookies with a given amount of cookie dough, not the least.

Revision as of 22:02, 18 October 2011

Solution

$\textbf{(A)}$ Art is the right answer because out of all the cookies, Art's had an area of $12 \text{ in}^2$, which was the greatest area out of all the cookies' areas. Roger's cookie had an area of $8 \text{ in} ^2$, and both Paul and Trisha's cookies had an area of $6 \text{ in}^2$. This means Art makes less cookies, since his cookie area is the greatest. The answer is not that there is a tie between Paul and Trisha because they can make the most cookies with a given amount of cookie dough, not the least.