Difference between revisions of "1999 AMC 8 Problems/Problem 22"
Giratina150 (talk | contribs) (Created page with "Let <math>f</math> represent one fish, <math>l</math> a loaf of bread, and <math>r</math> a bag of rice. Then: <math>3f=2l</math> <math>l=4r</math> Substituting <math>l</math> f...") |
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Let <math>f</math> represent one fish, <math>l</math> a loaf of bread, and <math>r</math> a bag of rice. Then: | Let <math>f</math> represent one fish, <math>l</math> a loaf of bread, and <math>r</math> a bag of rice. Then: | ||
| − | <math>3f=2l</math> | + | <math>3f=2l</math>, |
<math>l=4r</math> | <math>l=4r</math> | ||
| − | Substituting <math>l</math> from the second equation back into the first gives us <math>3f=8r</math>. So each fish is worth <math>\frac{8}{3}</math> bags of rice, or <math>2 \frac{2}{3} | + | Substituting <math>l</math> from the second equation back into the first gives us <math>3f=8r</math>. So each fish is worth <math>\frac{8}{3}</math> bags of rice, or <math>2 \frac{2}{3}\Rightarrow \boxed{D}</math>. |
Revision as of 18:59, 28 July 2011
Let 
represent one fish, 
a loaf of bread, and 
a bag of rice. Then:
,
Substituting from the second equation back into the first gives us 
. So each fish is worth 
bags of rice, or 
.
