1999 AMC 8 Problems/Problem 18
Problem
At Central Middle School the students who take the AMC8 meet in the evening to talk about problems and eat an average of two cookies apiece. Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of
cookies, lists this items:
cups flour,
eggs,
tablespoons butter,
cups sugar, and
package of chocolate drops. 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 cookies should they make for their smaller party?
Solution
Solution 1
If students eat
cookies on average, there will need to be
cookies. But with the smaller attendance, you will only need
of these cookies, or
cookies.
cookies requires
batches. However, since half-batches are forbidden, we must round up to get
batches, and the correct answer is
.
Solution 2
If there were students before, with the
of students missing, there will be
of
students left. This is
students. These students eat
cookies. 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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