2. you are making necklaces for your friends. you have 72 blue beads and 42 red beads. each friend will receive an identical necklace, and all beads must be used. (a) what is the greatest number of friends who can receive a necklace? explain your reasoning. (b) how many of each color bead will each friend receive on the necklace? explain your reasoning. !

Step 1

Find the Greatest Common Factor (GCF)

we know that

the GCF is equal to

therefore

the answer Part a) is

the greatest number of friends is 6

Step 2

Part b) How many of each color bead will each friend receive on the necklace?

we have 72 blue beads

so

Divide the total blue beads by the total necklaces

72/6=12 blue beads each necklace

we have 42 red beads

so

Divide the total red beads by the total necklaces

42/6=7 red beads each necklace

therefore

the answer Part b) is

Each necklace will have 7 red beads and 12 blue beads

step-by-step explanation:

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