1999 AMC 8 Problems/Problem 19

Problem

At Yo Papa Middle School the 108 students 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 make enough pans to supply 216 cookies. There are 8 tablespoons in a stick of butter. How many sticks of butter will be needed? (Some sticks of butter may be eaten in one gulp, of course.)

Solution

For cakes, you need to make pans. Since fractional pans are forbidden, round up to make pans.

There are tablespoons of butter per pan, meaning tablespoons of butter is required for pans.

Each stick of butter has tablespoons, so we need sticks of butter. However, we must round up again because partial sticks of butter are forbidden since they will be eaten in one gulp. Thus, we need sticks of butter, and the answer is .

See Also

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