# (Score for Question 2: ___ of 5 points) 2.You are making necklaces for your friends. You have 84 blue beads and 56 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. Answer:

###### Question:

2.You are making necklaces for your friends. You have 84 blue beads and 56 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.

Answer:

## Answers

28 friends can receive necklaces, which will have 2 red beads and 3 blue beads.Since you are making necklaces for your friends, and you have 84 blue beads and 56 red beads, and each friend will receive an identical necklace, and all beads must be used, to determine what is the greatest number of friends who can receive a necklace and how many of each color bead will each friend receive on the necklace, the following logical-mathematical reasoning must be carried out:First, the minor common divisor between the two numbers must be obtained. Thus, since both are divisible by 2, 4, 7, 14, and 28, the minor common divisor of both is 2. So, to determine the largest number of friends that can obtain a necklace, and the number of beads that each necklace will have, the following calculation must be performed: 56/2 = 28 (red beads) 84/28 = 3 (blue beads) Therefore, 28 friends can receive necklaces, which will have 2 red beads and 3 blue beads.Learn more in https://brainly.com/question/24645866