Q52. - Algebra 1

Question

SHORT RESPONSE A deli serves boxed lunches with a sandwich, fruit, and a dessert. The sandwich choices are turkey, roast beef, or ham. The fruit choices are an orange or an apple. The dessert choices are a cookie or a brownie. How many different boxed lunches does the deli serve?

Step-by-Step Solution

Answer

The deli serves 12 different boxed lunches.

Step 1. State the concept.

If there are $a$ choices for object A and $b$ choices for object B, then there are a total number of $ab$ choices for both object A and B together.

Step 2. List the given data.

A deli serves boxed lunches with a sandwich, fruit, and a dessert.

The sandwich choices are turkey, roast beef, or ham.

The fruit choices are an orange or an apple.

The dessert choices are a cookie or a brownie.

Step 3. Calculate the total number of boxed lunches.

The deli serves boxed lunches with three items; sandwich, fruit and a dessert. So, the number of choices for each of these items has to be considered.

 

The number of choices for sandwich is 3; turkey, roast beef, or ham.

 

The number of choices for fruit is 2; an orange or an apple.

 

The number of choices for dessert is 2; a cookie or a brownie.

 

Then, total number of choices for boxed lunches is $3\times 2\times 2=12$

 

So, the deli serves 12 different boxed lunches.