You are making gift bags for a school party. You have 48 pencils, 80 markers, and 64 stickers. Each gift bag will have the same number of each item. You want to use all of the items. What is the greatest number of gift bags you can make?
8 gift bags
12 gift bags
16 gift bags
32 gift bags
How many gift bags can you make for a school party using 48 pencils, 80 markers, and 64 stickers, with each bag having the same number of each item?
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To determine the greatest number of gift bags you can make, you need to find the greatest common divisor (GCD) of the quantities of pencils, markers, and stickers: 48, 80, and 64.
1. Find the factors:
– 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
– 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
– 64: 1, 2, 4, 8, 16, 32, 64
2. Identify the common factors:
– The common factors of 48, 80, and 64 are 1, 2, 4, 8, and 16.
3. Find the greatest common factor:
– The greatest of these common factors is 16.
So, the greatest number of gift bags you can make is 16 gift bags. Each bag will contain 3 pencils, 5 markers, and 4 stickers (since 48/16 = 3, 80/16 = 5, and 64/16 = 4).
Answer: 16 gift bags