Question

Given p : q = 5 : 2 and q : r = 4 : 3, find the ratio of p : q : r​

Answer 1

p : q : r​ =

10 : 4 : 3

Explanation:

to make q equal in the two equations :

p : q = 5 : 2 x4

p : q = 20 : 8

q : r = 4 : 3 x2

q : r = 8 : 6

So p : q : r​ =

20 : 8 :6

10 : 4 : 3

Answer 2

p : q : r = 10 : 4 : 3

Explanation:

Expressing the ratio in fractional form

`(q)/(r)` =
`(4)/(3)` ( cross- multiply )

4r = 3q ( divide both sides by 4 )

r =
`(3)/(4)` q =
`(3)/(4)` × 2 =
`(3)/(2)`

Then

p : q : r

= 5 : 2 :
`(3)/(2)` ( multiply all parts by 2 )

= 10 : 4 : 3