Question

Q4. 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

(b) 39 litres : 65 litres and 6 bottles: 10 bottles

(c) 2 kg : 80 kg and 25 g : 625g

(d) 200 ml : 2.5 litre and 4:50

Answer any of them​

Answer 1

Answer:

Q4. 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

(b) 39 litres : 65 litres and 6 bottles: 10 bottles

(c) 2 kg : 80 kg and 25 g : 625g

(d) 200 ml : 2.5 litre and 4:50

Answer any of them

Answer 2

Answer:

i. 25cm :1m = 1:4 And 40:160= 1:4

ii. 39litres :65 litres = 3:5 And 6 bottles: 10 bottle =3:5

iii. 2kg : 80kg = 1:40 and 25g : 625 g = 1:25

iv. 200ml : 2.5 litres = 2:25 and 4:50 = 2:25

Step-by-step explanation:

= i. 25cm :1m =Rs 40 :Rs160

= 25cm /1m = 40/160

= 25cm /100cm = 40 /60

= 25 /100 = 4/16

= 1/4 = 1/4

= 1:4 = 1:4

ii. 39 litres : 65 litres = 6 bottle: 10 bottle

= 39 litres ÷65 litres = 6 bottle ÷10 bottle

= 39/65 ( divide by 13 ) = 6/10 ( divide by 2)

= 3/5 = 3/5

= 3:5 = 3:5

= 39 Litres: 65 litres = 6 bottle: 10 bottle

iii. 2kg :80kg = 25g :625g

= 2kg /80kg = 25g /625g ( divide by 5)

= 2/80 = 5/125 ( divide by 5)

= 1/40 = 1/25

= 1:40 = 1:25

= 2 kg : 80kg ≠ 25 g : 625 g

iv. 200ml : 2.5 litres = Rs4 : Rs 50

= 200/ 2.5 litres = Rs4/Rs5

= 200ml / 2500 litres = 4/50 (divide by 2)

= 200/ 2500 = 2/25

= 2/25

= 2:25 = 2:25

= 200 Ml : 2.5 litres =Rs4:Rs 5

=so , Given ratio are in proportion

= Middle Terms = 2.5 litres, Rs4

= Extreme Terms = 200ml , Rs 50

hope it helps you