Question

i’ll give brainliest just help

Answer 1

Answer:

The answer required in ratio is: b:c = 9:8

Step-by-step explanation:

We are given:

The ratio a:b = 2:3 and the ratio a:c = 3:4

We need to find the ratio b:c

a:b=2:3 can be written as:

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

Finding value of a by cross multiplying:

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

a:c = 3:4 can be written as: $\frac{a}{c}=\frac{3}{4}$

Putting value of a and finding b:c

$\frac{a}{c}=\frac{3}{4}\\Put\:a=\frac{2b}{3}\\\frac{2b}{3}}\times \frac{1}{c}=\frac{3}{4} \\Finding\:value\:of\:b/c\\\frac{b}{c}=\frac{3\times 3}{4 \times 2}\\ \frac{b}{c}=\frac{9}{8}$

So, we get the value of $\frac{b}{c}=\frac{9}{8}$

The answer required is in ratio so: b:c = 9:8