# 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 19:59, 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 .