Question

Determine if the following ratios are in proportion.
(a) 48 kg : 6 kg and 25 g: 200 g
(b) 8 m: 21 m and 24: 63
(c) 45 girls : 60 girls and 48 boys : 64 boys
(d) 5.21: 3.9 I and 3 ml : 4 ml​

Answer 1

Answer:

We are given the following ratios;

48 kg : 6 kg and 25 g : 200 g

Firstly, making both the ratios in same units;

1 kg = 1000 g

48 kg = 48 \times× 1000 = 48000 g

Similarly, 6 kg = 6 \times× 1000 = 6000 g

Now, the accurate ratios are;

48000 g : 6000 g and 25 g : 200 g

To conclude that the ratios are in proportion, the condition is that;

Product of means = Product of extremes

6000 \times 25 \neq 48000 \times 2006000×25

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=48000×200

150000 \neq

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= 9600000