Questions: Monique wants to have an equal number of cups and napkins. What is the least number of packages of cups and the least number of packages of napkins Monique should buy to have an equal number of cups and napkins? Justify your answer.

Monique wants to have an equal number of cups and napkins. What is the least number of packages of cups and the least number of packages of napkins Monique should buy to have an equal number of cups and napkins? Justify your answer.

Transcript text: PART $B$ Monique wants to have an equal number of cups and napkins. What is the least number of packages of cups and the least number of packages of napkins Monique should buy to have an equal number of cups and napkins? Justify your answer.

Solution

Solution Steps

Step 1: Identify the quantities in each package

Cups: 12 per package
Napkins: 10 per package

Step 2: Find the least common multiple (LCM)

The LCM of 12 (cups per package) and 10 (napkins per package) is 60.

Step 3: Determine the number of packages needed

To get 60 cups, Monique needs \( \frac{60}{12} = 5 \) packages of cups.
To get 60 napkins, Monique needs \( \frac{60}{10} = 6 \) packages of napkins.

Final Answer

Monique should buy 5 packages of cups and 6 packages of napkins to have an equal number of cups and napkins.

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