Question

If there are 36 boys and 54 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

There are 36 boys for every 54 girls (36 : 54 ratio)
There are 18 boys for every 27 girls (18 : 27 ratio)
There are 6 boys for every 9 girls (6 : 9 ratio)
There are 4 boys for every 6 girls (4 : 6 ratio)
There are
4 boys for every
6 girls

Answer 1

Explanation:

so, 36 : 54

36×1/2 = 18

so, 18 : 27

36×1/3 = 12

so, 12 : 18

36×2/3 = 24

so, 24 : 36

36×1/4 = 9, but 54 can't be divided by 4.

36×1/5 no

36×1/6 = 6

so, 6 : 9

36×2/6 = 36×1/3 done

36×3/6 = 36×1/2 done

36×4/6 = 36×2/3 done

36×5/6 = 30

so, 30 : 45

36×1/7 or 1/8 no

36×1/9 = 4

so, 4 : 6

36×2/9 = 8

so, 8 : 12

36×3/9 = 36×1/3 done

36×4/9 = 16

so, 16 : 24

36×5/9 = 20

so, 20 : 30

36×6/9 = 36×2/3 done

36×7/9 = 28

so, 28 : 42

36×8/9 = 32

so, 32 : 48

36×1/10, ×1/11 no

36×1/12 = 3, but 54 can't be divided by 12.

36×1/13, ×1/14, ×1/15, ×1/16, ×1/17 no

36×1/18 = 2

so, 2 : 3

36×2/18, ×3/18, ×4/18 done

36×5/18 = 10

so, 10 : 15

36×6/18 done

36×7/18 = 14

so, 14 : 21

36×8/18, ×9/18, ×10/18 done

36×11/18 = 22

so, 22 : 33

36×12/18 done

36×13/18 = 26

so, 26 : 39

36×14/18, ×15/18, ×16/18 done

36×17/18 = 34

so, 34 : 51