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.

(a) 6 friends

(b) 12 blue beads and 7 red beads

Step-by-step explanation:

(a) Given,

Number of blue beads = 72,

Number of red beads = 42,

∵ 72 = 2 × 2 × 2 × 3 × 3

And, 42 = 2 × 3 × 7

Thus, GCF(72, 42) = 2 × 3 = 6

Hence, the greatest number of friends who can receive a necklace is 6.

(b) Now, the number number of blue beads in each necklace

= 12

Also, the number number of red beads in each necklace

= 7

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

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step-by-step explanation:

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