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.
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A) 6 friends

B) 12 blue beads and 7 red beads

Step-by-step explanation:

Step 1: Find the total number of beads

Blue beads + red beads = Total beads

72 + 42 = 114

Step 2: Find the ratio of blue beads to red beads

Blue/red = 72/42 = 12/7

Step 3: Find the total number of beads in each necklace

Add the ratio found in step 2

12 + 7 = 19 beads in each necklace

Step 4: Find the number of necklaces

Total beads/beads in each necklace

114/19 = 6

There will be 6 identical necklaces.

A) 6 friends will receive a necklace

B) Each friend will receive 12 blue beads and 7 red beads on each necklace.

!!

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

answer is because 4×10=40

and 98×4= is 392

40,392