Question

The ratio of a to b is 3 to 4 and the ratio of c to b is 1 to 2. What is the ratio of a to c

Answer 1

a:b = 3:4

b:c = 2:1

So,b:c = 4:2

a:b:c = 3:4:2

Thus, a:c = 3:2

Answer 2

The ratio of a to b is 3 to 4 and the ratio of c to b is 1 to 2. Then ratio of a : c is 3 : 2

Solution:

Given that,

The ratio of a to b is 3 to 4

The ratio of c to b is 1 to 2

Which means,

a : b = 3 : 4

c : b = 1 : 2

To find: a : c

Writing in fraction,

$\frac{a}{b} = \frac{3}{4}\\\\\frac{c}{b} = \frac{1}{2}$

Therefore,

$\frac{a}{c} =\frac{a}{b} \times \frac{b}{c}\\\\\frac{a}{c} =\frac{3}{4} \times \frac{2}{1}\\\\\frac{a}{c} =\frac{3}{2}$

Thus ratio of a : c is 3 : 2

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