A. The greatest number of friends who can receive a necklace made from a combination of 72 blue and 42 red beads is <u>6</u>.
B. Each friend will receive a necklace with <u>12 blue beads</u> and <u>7 red beads</u>.
<h3>How is this determined?</h3>
The solution to this problem can be determined by considering the highest common factors of 72 and 42.
The common factors of 72 and 42 are 2 and 3.
The factors of 72 are 2, 3, and 12.
The factors of 42 are 2, 3, and 7.
2 x 3 = 6
When 6 divides 72 = 12
When 6 divides 42 = 7
<h3>Data and Calculations:</h3>
Number of blue beads = 72
Number of red beads = 42
The highest number that can divide 72 and 42 without a remainder is 6.
Thus, each friend's necklace will contain <u>19 beads</u> (12 blue beads and 7 red beads).
Learn more about common factors at brainly.com/question/219464
#SPJ1
