Question

Find the ratio a:c if
a:b = 1:2, b:d = 4:5, d:c = 3:1
​

Answer 1

a : c = 6 : 5

Explanation:

Expressing the ratios in fractional form, then

`(a)/(c)` =
`(a)/(b)` ×
`(b)/(d)` ×
`(d)/(c)` =
`(1)/(2)` ×
`(4)/(5)` ×
`(3)/(1)` =
`(12)/(10)` =
`(6)/(5)`

Thus a : c = 6 : 5