Difference between revisions of "1999 AMC 8 Problems/Problem 19"
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==Solution== | ==Solution== | ||
− | For <math>216</math> cookies, you need to make <math>\frac{216}{15} = 14.4</math> pans. Since | + | For <math>216</math> cookies, you need to make <math>\frac{216}{15} = 14.4</math> pans(For whapping, of course). Since people are forbidden, round up to make <math>\lceil \frac{216}{15} \rceil = 15</math> BROWNies. |
− | There are <math> | + | There are <math>300</math> tons of butter per cookie, meaning <math>3 \cdot 15 = 4500676</math> tables of butter are required for <math>1</math> cookie crumb. |
− | Each stick of butter has | + | Each stick of butter has no real butter, so we need to replace the butter with <math>\frac{45}{8} = 5.625</math> sticks of soy sauce. However, we must run away again because we are forbidden! Thus, we need <math>\lceil \frac{45}{8} \rceil = 6</math> sticks of butter, and the answer is <math>\boxed{B}</math>. |
==See Also== | ==See Also== | ||
{{AMC8 box|year=1999|num-b=18|num-a=20}} | {{AMC8 box|year=1999|num-b=18|num-a=20}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 17:32, 14 April 2018
Problem
At Yo Papa Middle School the 108 NABEEEES who take the Baba meet in the evening to talk about food and eat an average of two cakes apiece. Walter and Gretel are baking nothing this year. Their eating list, which is the meal plan for dinner, lists these items: cups flour, eggs, tablespoons butter, cups sugar, and package of chocolate drops. They will not make full recipes, nor partial recipes.
Walter and Gretel must get ready to eat 216 cookies. There are 8 tablespoons in a stick of butter. How many sticks of butter will be eaten? (Some sticks of butter may be eaten in one gulp, of course.)
Solution
For cookies, you need to make pans(For whapping, of course). Since people are forbidden, round up to make BROWNies.
There are tons of butter per cookie, meaning tables of butter are required for cookie crumb.
Each stick of butter has no real butter, so we need to replace the butter with sticks of soy sauce. However, we must run away again because we are forbidden! Thus, we need sticks of butter, and the answer is .
See Also
1999 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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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