Question

Determine if the following ratios form a proportion. Also, write the middle terms
and extreme terms where the ratios form a proportion.
(a) 25 cm: 1 m and 40:160 (b139 litres : 65 litres and 6 bottles: 10 bottles and form std 6​

Answer 1

Answer:

SOLUTION: i) 25cm:1m 1m=100cm =\frac{25}{100}=\frac{1}{4}=1:4= 100 25 ​ = 4 1 ​ =1:4 rs40:rs160=\frac{40}{160}=\frac{1}{4}=1:4 160 40 ​ = 4 1 ​ =1:4 since the ratios are in proportion, therefore these are in proportion. ii) 39litres:65litres=\frac{39}{65}=\frac{3}{5} 65 39 ​ = 5 3 ​ 6bottles: 10bottles=\frac{6}{10}=\frac{3}{5}=3:5 10 6 ​ = 5 3 ​ =3:5 since, the ratio are equal, therefore thee are in proportion. iii) 2kg: 80kg\frac{2}{80}=\frac{1}{40}=1:4 80 2 ​ = 40 1 ​ =1:4 25g:65g=\frac{25}{65}=\frac{1}{25}=1:25 65 25 ​ = 25 1 ​ =1:25 since, the ratios are not equal, therefore these are not in proportion. iv) 200ml:2.5ltres \frac{200}{2500}=\frac{2}{25}=2:25 2500 200 ​ = 25 2 ​ =2:25 4: 250=\frac{4}{50}=\frac{2}{25}=2:25 50 4 ​ = 25 2 ​ =2:25 sincce, the ratios are equal, therefore these are in proportion.

Step-by-step explanation: