Question

If a:b=3:5,a:c=5:7 what is the value of b:c?

Answer 1

Answer:

25:21

Step-by-step explanation:

a:b=3:5

a/b=3/5

b=5a/3

and, a:c=5:7

a/c=5/7

c=7a/5

now,b:c=5a/3:7a/5

b/c=(5a/3)/(7a/5)

b/c=25/21

b:c=25:21

Answer 2

Answer:

$\frac{b}{c}$=$\frac{25}{21}$

Step-by-step explanation:

Given:-If a:b=3:5,a:c=5:7

To Find:-the value of b:c

Solution:-

b=$\frac{5a}{3}$

c=$\frac{7a}{5}$

b:c  = $\frac{5a}{3}$:$\frac{7a}{5}$=$\frac{25a}{15}$:$\frac{21a}{15}$

and then normalise the ratio :

b:c=25:21.

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