Question

the ratio of a to b is 2:3, and the ratio of a to c is 3: 10. What is the ratio of b to c?

Answer 1

Answer: 3:10

Step-by-step explanation:

From the question, b= 3; c=10

Ratio of b:c will be

the value of b:value of c

=3:10

I hope you understand

Answer 2

Answer: $b:c = 9:20$

Step-by-step explanation:

$a:b = 2:3$

That is

$\frac{a}{b} = \frac{2}{3}$

This means that

$a = \frac{2}{3}b$ ................................... *

Also

$a:c = 3: 10$

$\frac{a}{c} = \frac{3}{10}$

which means that

$a = \frac{3}{10}c$ .................................. **

Equate * and ** since they are both values of $a$

That is :

$\frac{2}{3}b =\frac{3}{10}c$

cross multiplying , we have

$20b = 9c$

Therefore :

$\frac{b}{c}=\frac{9}{20}$

Therefore :

$b:c = 9:20$