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Tracy is packing a lunch box to take to school. Tracy can make $2$ kinds of sandwiches, and there are $2$ kinds of fruit in the house. Assuming Tracy packs one of each item, how many different lunches can she pack $?$ _____ lunches

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Counting principle

Full solution

Q. Tracy is packing a lunch box to take to school. Tracy can make

2

kinds of sandwiches, and there are

2

kinds of fruit in the house. Assuming Tracy packs one of each item, how many different lunches can she pack

?

_____ lunches

Identify Choices: Identify the number of choices for each item. $\newline$ Tracy can make $2$ kinds of sandwiches and there are $2$ kinds of fruit.
Use Counting Principle: Use the fundamental counting principle. $\newline$ The number of different lunches Tracy can pack is the product of the number of choices for sandwiches and the number of choices for fruit. $\newline$ Number of different lunches $= \text{Number of sandwich choices} \times \text{Number of fruit choices}$
Calculate Number of Lunches: Calculate the number of different lunches. $\newline$ Number of different lunches = $2$ (sandwich choices) $\times$ $2$ (fruit choices) = $4$ lunches

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