A Boy 3

A Boy Scout group plans to sell bags of popcorn to raise money for a camping trip. To determine the number of bags they should order, they randomly surveyed 60 people and asked which flavor of popcorn they preferred. Listed below are the results:

type	number
Plain	9
Butter	24
Cheese	12
Caramel	15

If the troop is ordering 500 bags of popcorn, how many should be plain based on this survey?

Correct answer:

P =  75
B =  200
C₁ =  100
C₂ =  125

Step-by-step explanation:

$$\begin{gathered} k=\frac{500}{60}=\frac{25}{3}=8\frac{1}{3}\doteq 8.3333 \\ P=9\cdot k=9\cdot \frac{25}{3}=\frac{9\cdot 25}{3}=\frac{225}{3}=75 \end{gathered}$$

$B=24\cdot k=24\cdot \frac{25}{3}=\frac{24\cdot 25}{3}=\frac{600}{3}=200$

$C_1=12\cdot k=12\cdot \frac{25}{3}=\frac{12\cdot 25}{3}=\frac{300}{3}=100$

$C_2=15\cdot k=15\cdot \frac{25}{3}=\frac{15\cdot 25}{3}=\frac{375}{3}=125$

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