Difference between revisions of "1999 AMC 8 Problems/Problem 22"
m |
|||
| Line 15: | Line 15: | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=1999|num-b=21|num-a=23}} | {{AMC8 box|year=1999|num-b=21|num-a=23}} | ||
| + | {{MAA Notice}} | ||
Revision as of 23:34, 4 July 2013
Problem
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?
Solution
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
.
See Also
| 1999 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 21 |
Followed by Problem 23 | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.