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anastassius [24]
3 years ago
14

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?

Mathematics
2 answers:
Stolb23 [73]3 years ago
4 0

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

allsm [11]3 years ago
4 0

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

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For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}

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\mathbf{\therefore \quad x = 34}

\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}

Hope it helps.
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