Question

Determine if the following ratios form a proportion:

a) 20 cm: 1 m and 3.5 litre : 17.5 litre

b) 2 kg: 80 kg and 25 gm: 625 gm

Answer 1

ANSWER:

a)20cm : 1m and 3.5 litre :17.5 litre form a proportion.

b)2 kg : 80 kg and 25 gm : 625 gm does not

form a proportion.

EXPLANATION:

a) 20cm : 1m and 3.5 litre : 17.5 litre

1) 20cm : 1m

as, the units are not same so we convert m to cm

1m=100cm

20/100

= 1:5

so,the proportion is 1:5

2) 3.5 litre : 1.75 litre

as, the units are same

3.5/1.75

=1.5

so,the proportion is 1:5

since 20cm : 1m and 3.5 litre :17.5 litre form a proportion.

b) 2 kg : 80 kg and 25 gm : 625 gm

1) 2kg : 80 kg

as, the units are same

2/80

=1:40

so,the proportion is 1:40

2) 25gm : 625 gm

as, the units are same

25/625

=1:25

so,the proportion is 1:25

since 2 kg : 80 kg and 25 gm : 625 gm does not form a proportion.

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