Question

13. IfA: C = 5:8 and B : C = 5:6, find A: B and A:B:C

Answer 1

A:C = 5:8

B:C= 5:6

Make C same both

Take LCM of 8 and 6 is 24.

A: C = 15: 24 (Multiple by 3)

B:C = 20: 24 (Multiple by 4)

On here, A: B = 15:20 = 3:4

Now,

A:B:C = 15:20:24

Answer 2

Given-

$A: C = 5:8\\ B : C = 5:6$

To find-

$1. A: B \\2.A:B:C$

Solution-

The given information is in ration form .

Ration is fraction which contain numerator and denominator.

We can write given ration as,

$\frac{A}{C}= \frac{5}{8}$

$\frac{B}{C}= \frac{5}{6}$

As C is present in both the ration equate it

By Multiply A/C by 3 and B/C by 4 we get

$\frac{A}{C}= \frac{15}{24}$

$\frac{B}{C}= \frac{20}{24}$

So, we get A= 15  B= 20 and C= 24

The value of A:B

= $\frac{15}{20}$

Divide by 5 we get

The value of A:B = $\frac{3}{4}$

To find the value of A:B:C = $15 : 20 :24$

The final value is

$A:B:C = 15:20:24$

$A:B = 3:4$