Question

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.

Answer 1

Answer:

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Answer 2

(a) The most significant number of friends who can receive a necklace is 6.

(b) Each friend will receive 12 blue and 7 red beads.

Given,

There are 72 blue beads and 42 red beads.

To Find,

Answers to the given questions.

Solution,

In this type of question, we have to find the HCF of the given numbers.

The numbers given are 72 and 42.

The HCF of numbers 72 and 42 are :

72 = 6 × 12

42 = 6 × 7

The HCF of 72 and 42 is 6.

(a) The HCF of numbers 72 and 42 is 6.

So, the most significant number of necklaces can be made 6.

(b) Remaining numbers are 12 and 7.

So, the 12 blue beads and 7 red beads are used to make one piece of necklace.

(a) The most significant number of friends who can receive a necklace is 6.

(b) Each friend will receive 12 blue and 7 red beads.

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