Difference between revisions of "2002 AMC 12A Problems/Problem 2"
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==Problem== | ==Problem== | ||
− | {{ | + | Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been had she worked the problem correctly? |
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+ | <math> \mathrm{(A) \ } 15\qquad \mathrm{(B) \ } 34\qquad \mathrm{(C) \ } 43\qquad \mathrm{(D) \ } 51\qquad \mathrm{(E) \ } 138 </math> | ||
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==Solution== | ==Solution== | ||
− | {{ | + | <math>\dfrac{x-9}{3}=43</math> |
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+ | <math>x=43*3+9=138</math> | ||
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+ | <math>\dfrac{x-3}{9}=15 \Rightarrow \mathrm {(A)}</math> | ||
==See Also== | ==See Also== | ||
{{AMC12 box|year=2002|ab=A|num-b=1|num-a=3}} | {{AMC12 box|year=2002|ab=A|num-b=1|num-a=3}} |
Revision as of 13:35, 17 October 2007
Problem
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been had she worked the problem correctly?
Solution
See Also
2002 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 |