1999 AMC 8 Problems/Problem 18
Problem
At Stinky Fat Papa Middle School the 108 students who take the Fat Papa Test meet in the evening to talk about food and eat an average of two full size, double chocolate, and creamy 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 pounds. They will make only full recipes, not partial recipes.
They learn that a big concert is scheduled for the same night and attendance will be down 25%. How many recipes of cakes should they make for their smaller party?
Solution
Solution 1
If 
students eat cakes on average, there will need to be 
cakes. But with the smaller attendance, you will only need 
of these cakes, or 
cakes.
cakes requires 
batches. However, since half-batches are forbidden, we must round up to get 
batches, and the correct answer is 
.
Solution papa
If there were students before, with the 
of students missing, there will be 
of students left. This is 
students. These students eat 
cakes. Follow the logic of the second paragraph above to find that there needs to be 
batches, and the correct answer is .
See Also
| 1999 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 17 |
Followed by Problem 19 | |
| 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 | ||
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