Question

If x/y =6, y/w =4, and x=36, what is the value of w? (A) 1 2 (B) 3 2 (C) 2 (D) 4 (E) 6

Answer 1

w =
`(3)/(2)`

Explanation:

Given

`(x)/(y)` = 6 and x = 36 , then

`(36)/(y)` = 6 ( multiply both sides by y )

36 = 6y ( divide both sides by 6 (

6 = y

Then

`(y)/(w)` = 4 , that is

`(6)/(w)` = 4 ( multiply both sides by w )

6 = 4w ( divide both sides by 4 )

`(6)/(4)` = w , that is

w =
`(3)/(2)`