Question

5. Do the following ratios form a proportion? (a) 25 cm : 75 cm and 80: 240 (b) 10 km : 15 km and 35 g: 49 g ​

Answer 1

Step-by-step explanation:

(1) 24 : 56 = 2456=24÷856÷8=37 = 3 : 7 (HCF of 24 and 56 = 8)

(2) 63 : 49 = 6349=63÷749÷7=97 = 9 : 7 (HCF of 63 and 49 = 7)

(3) 52 : 65 = 5265=52÷1365÷13=45 = 4 : 5 (HCF of 52 and 65 = 13)

(4) 84 : 60 = 8460=84÷1260÷12=75 = 7 : 5 (HCF of 84 and 60 = 12)

(5) 35 : 65 = 3565=35÷565÷5=713 = 7 : 13 (HCF of 35 and 65 = 5)

(6) 121 : 99 = 12199=121÷1199÷11=119 = 11 : 9 (HCF of 121 and 99 = 11)

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Answer 2

Answer:

a) 25 cm : 75 cm

(Cutting with 25)

1 cm : 3 cm

80 cm : 240 cm

(Cutting of zeros)

8 cm : 24 cm

(Cutting with 8)

1 cm : 3 cm

1 cm : 3 cm = 1 cm : 3 cm

So, the ratios form a proportion

b) 10 km : 15 km

(Cutting with 5)

2 km : 3 km

35 g : 49 g

(Cutting with 7)

5 g : 7 g

2 km : 3 km ≠ 5 g : 7 g