Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
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