Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion. 2 Kg: 50000 g and Rs 25 : Rs 625
Answers
Step-by-step explanation:
(a) 1m=100cm
25cm:1m=
1m
25cm
=
100cm
25cm
=
4
1
=1:4
Rs. 40:Rs. 160=
Rs.60
Rs.40
=
16
4
=
4
1
=1:4
So given ratios are in proportion.
Here middle term=1m, Rs. 40 extreme terms=25cm, Rs. 160
(b) 39l:65l=39÷13:65÷13=3:5
6 bottles:10bottles=6:10=3:5
∴39l:65l=6 bottles:10 bottles
So, given ratios are in proportion.
Middle terms=65l,6 bottles, extreme terms=3l,10 bottles
(c) 2kg:80kg=2:80=1:40
25g:625g=25:625=1:25
∴2kg:80kg
=25g:625g
So, given ratio are not m proportion.
(d) 2.5l=2.5×1000ml(1l=1000ml)
=
10
25
×1000ml=25×100ml=2500ml
200ml:2.5l=200:2500=2:25
Rs. 4:Rs. 50=2:25
Middle terms =2.5l, Rs. 4.
So, given ration are in proportion.
Extreme terms=200ml and Rs. 50.
SOLUTION
TO DETERMINE
If the following ratios form a proportion.
Also, write the middle terms and extreme terms where the ratios form a proportion
2 Kg: 50000 g and Rs 25 : Rs 625
EVALUATION
Here the given two ratios are
2 Kg : 50000 g and Rs 25 : Rs 625
So the first ratio is 2 Kg : 50000 g
1 kg = 1000 g
∴ 2 Kg = 2000 g
So 2 Kg : 50000 g
= 2000 : 50000
= 2 : 50
= 1 : 25
Second ratio is Rs 25 : Rs 625
∴ Rs 25 : Rs 625
= 25 : 625
= 1 : 25
∴ 2 Kg : 50000 g = Rs 25 : Rs 625
Hence given two ratios form a proportion
Here
Middle terms are = 50000 g and Rs 25
Extreme terms are = 2 Kg and Rs 25
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