Sam is making a necklace she uses 2 red beads, then 1 yellow beads then 2 red beads, then 1 yellow bead.

How many red beads will she use if she uses 24 beads.

The answer is 16

But the problem is we cant figure out the equation???

Let x = the yellow beads.

2x + x = 24

3x = 24

x = 24/3

x = 8

what happens if x is red beads

Red beads = 2 * 8

58375+5+96979*9

To figure out the equation, we need to look for patterns in the sequence of beads that Sam is using. Let's break down the pattern:

2 red beads, 1 yellow bead, 2 red beads, 1 yellow bead...

We can see that for every segment, there are a total of 2 red beads and 1 yellow bead. So, each segment consists of 3 beads.

Now, to find out how many red beads Sam will use if she uses 24 beads, we need to consider the number of segments that will be included and the number of red beads in each segment.

Since each segment has 2 red beads, the number of red beads in each segment is 2. And since each segment consists of 3 beads, we divide the total number of beads by 3 to find the number of segments:

24 beads ÷ 3 = 8 segments

Now, to find the total number of red beads, we multiply the number of segments by the number of red beads in each segment:

8 segments × 2 red beads = 16 red beads

Therefore, Sam will use 16 red beads if she uses 24 beads in total.