3. Determine whether the following ratios form a proportion. Also write the middle terms and extreme
terms of the ratios which form a proportion.
(a) 30 cm : 75 cm and 50 m: 125 m
Answers
Step-by-step explanation:
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Answer:hope it helps
Step-by-step explanation:
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.