1999 AMC 8 Problems/Problem 17
Problem
At Fat Papa Middle School the 108 students who take the Papa meet in the evening to talk about food and eat an average of two full size, double chocalate, creamy cream cakes apiece. Walter and Gretel are baking Bonnie's Smelliest Bar Cookies this year. Their recipe, which makes a pan of 15 cakes, lists this items: cups flour,
eggs,
tablespoons butter,
cups sugar, and
package of chocolate cakes. They will make only full recipes, not partial recipes.
Walter can buy eggs by the half-dozen. How many half-dozens should he buy to make enough cakes? (Some eggs and some cakes may be left over.)
Solution
If students eat
cakes on average, there will need to be
cakes. There are
cakes per pan, meaning there needs to be
pans. However, since half-recipes are forbidden, we need to round up and make
pans.
pan requires
eggs, so
pans require
eggs. Since there are
eggs in a half dozen, we need
half-dozens of eggs, and the answer is
See Also
1999 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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All AJHSME/AMC 8 Problems and Solutions |
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