Question

If A is 5/3 of B and B is 4/7 of C then A: B: C is?
plz​

Answer 1

Answer:

$\mathrm{A : B : C = 20 : 12 : 21}$

Step-by-step explanation:

Given :

$\mathrm{A = \dfrac{5}{3}\times B}$

$\mathrm{B = \dfrac{4}{7}\times C}$

To find :

$\mathrm{A : B : C}$

Solution :

$\longmapsto \mathrm{A = \dfrac{5}{3}\times B}$

$\implies \mathrm{\dfrac{A}{B} = \dfrac{5}{3} }$

=> A : B = 5 : 3---[1]

$\longmapsto \mathrm{B = \dfrac{4}{7}\times C}$

$\implies \mathrm{\dfrac{B}{C} = \dfrac{4}{7} }$

=> B : C = 4 : 7 ---[2]

We can combine the 2 ratios if the middle term has the same ratio number.

So, multiplying 4 in the ratio [1] and 3 in the ratio [2], we get,

=> A : B = 20 : 12

=> B : C = 12 : 21

So, combining these, we get,

=> A :B : C = 20 : 12 : 21

Hope it helps!