Question

If you have a pattern made of 2 red beads to 3 blue beads, how many of each would you need to extend the pattern to 35 total beads?

a) 14 red, 21 blue
b) 20 red, 15 blue
c) 24 red, 36 blue
d) 10 red, 25 blue"

Answer 1

To extend the pattern to a total of 35 beads, you would need 14 red beads and 21 blue beads.

Step-by-step explanation:

To extend the pattern to a total of 35 beads, we need to determine how many sets of the pattern can fit in 35 beads. Each set consists of 2 red beads and 3 blue beads, so we need to divide 35 by the total number of beads in one set (2 + 3 = 5) to find the number of sets.

Therefore, 35 divided by 5 is equal to 7 sets. Since each set consists of 2 red beads and 3 blue beads, we can multiply the number of sets by the number of beads in each set to find the total number of red and blue beads needed.

7 sets multiplied by 2 red beads = 14 red beads

7 sets multiplied by 3 blue beads = 21 blue beads

So, the answer is 14 red, 21 blue (option a).