Dragon numbers to complete the table to show how many white and black beads are in different numbers of necklaces numbers may be used once more than once or not at all number of necklaces 1 2 3 4 5 white beads 4 A 3 B 6 C 8 D 12 E 15 F 18 16 20 black beads A 3 B 6 C 8 D 12 E 15 F 18 6 9 A 3 B 6 C 8 D 12 E 15 F 18 15

1 answer

To complete the table for the number of white and black beads in different numbers of necklaces, we will have to infer potential values for the letters (A, B, C, D, E, F) based on the data you provided. Let's break it down step by step for clarity.

You've provided a chart layout where the number of necklaces is accompanied by the number of white beads and black beads, as follows:

| Number of Necklaces | White Beads | Black Beads | |---------------------|-------------|-------------| | 1 | 4 | A | | 2 | A | 3 | | 3 | 3 | B | | 4 | B | 6 | | 5 | 6 | C | | 6 | C | 8 | | 7 | 8 | D | | 8 | D | 12 | | 9 | 12 | E | | 10 | E | 15 | | 11 | 15 | F | | 12 | F | 18 | | 13 | 18 | 16 | | 14 | 16 | 20 | | 15 | 20 | |

Next, we need to figure out the values for A, B, C, D, E, and F.

From the values provided for the white and black beads, we can see a pattern. Let’s assume that the letters represent the number of beads in a logical sequence.

  1. Identifying values:

    • If we look at the white beads:
      • 1 necklace = 4
      • 2 necklaces = 4 (from A)
      • 5 necklaces = 8 (from 6)
      • 3 = 3
      • 6 = 12
      • Further, the values increment in a recognizable sequence: 4, 8, 12, 15, 18, 20 ...
  2. Filling out the table:

    • After carefully inspecting the numbers, we assign values for letters A through F as follows:
      • A = 6
      • B = 9
      • C = 12
      • D = 15
      • E = 18
      • F = 20

So the completed table would look like this:

| Number of Necklaces | White Beads | Black Beads | |---------------------|-------------|-------------| | 1 | 4 | 6 | | 2 | 6 | 3 | | 3 | 3 | 9 | | 4 | 9 | 6 | | 5 | 12 | 12 | | 6 | 12 | 8 | | 7 | 15 | 15 | | 8 | 15 | 12 | | 9 | 18 | 18 | | 10 | 18 | 15 | | 11 | 20 | 20 | | 12 | 20 | 18 | | 13 | 18 | 16 | | 14 | 16 | 20 | | 15 | 20 | |

This table assumes a logical increment in both white and black beads across the number of necklaces. Analyze this as per your problem context and you may want to adjust according to specific rules you might have.