Question

Part A: A bakery sells specialty pumpkin pies during the month of October. One pumpkin pie contains 187.64 grams of sugar. The bakery wants each slice of pie to contain less than 22 grams of sugar. What is the minimum number of slices the bakery will have to cut the pie into in order for each slice to contain less than 22 grams of sugar ? Show your work. Part B: If the bakery cuts the pie into that minimum number of slices, how much sugar, in grams, will each slice of pumpkin pie contain? Round your answer to the nearest hundredth.

Answer 1

Explanation:

the answer is 9

Answer 2

• 9 slices
• 20.85 g

Explanation:

You want the minimum number of pie slices and the amount of sugar in each such that the sugar in each slice is less than 22 grams when the whole pie has 187.64 grams of sugar.

A: Slices

The sugar in each of n slices is 1/n times the sugar in the whole pie. You want ...

(187.64 g)/n < 22 g

Multiply by n/(22 g) to get

n > 187.64/22

n > 8.53

The smallest whole number that satisfies this inequality is n = 9.

The minimum number of pie slices is 9.

B: Sugar

When the sugar in the pie is divided into 9 equal parts, each part is ...

(187.64 g)/(9 slices) = 20.85 g/slice

Each slice of pumpkin pie will contain about 20.85 grams of sugar.