In this question, we use the ratio given to complete the table.
Doing this, the completed table is:
3 - 5 - 8
6 - 10 - 16
9 - 15 - 24
12 - 20 - 32
60 - 100 - 160
75 - 125 - 200
In a bag, the ratio of red beads to blue beads is 3∶5.
This means, that for each 3 beads, there are 5 blue beads, and for each 8 beads, there are 3 red and 5 blue.
Third line:
15 blue, the amount of red is 3/5 of this, so:
[tex]\frac{3}{5}(15) = 3(3) = 9[/tex]
Thus, there are 9 red, 9 + 15 = 24, and thus, the third line is:
9 - 15 - 24
Fourth line:
32, 3/8 are red and 5/8 are blue, so:
[tex]\frac{3}{8}(32) = 3(4) = 12[/tex]
[tex]\frac{5}{8}(32) = 5(4) = 20[/tex]
Thus, the fourth line is:
12 - 20 - 32
Fifth line:
100 blue, the amount of red is 3/5 of this, so:
[tex]\frac{3}{5}(100) = 3(20) = 60[/tex]
60 + 100 = 160
Thus, the fifth line is:
60 - 100 - 160
Sixth line:
75 red, the amount of blue is 5/3 of this, so:
[tex]\frac{5}{3}(75) = 5(25) = 125[/tex]
75 + 125 = 200.
Thus, the sixth line is:
75 - 125 - 200
The complete table is:
3 - 5 - 8
6 - 10 - 16
9 - 15 - 24
12 - 20 - 32
60 - 100 - 160
75 - 125 - 200
A similar question is found at: https://brainly.com/question/19159260
