Question

The ratio x:y is 1:3

Which of the following statements are correct?
A. x is 1/3 of y
B. y is 2 of (x + y)
C x is 1/4 of y
D. y is 3/4 of x​

Answer 1

A and B

x is
`(1)/(3)` of y

AND

y is
`(3)/(4)` of (x+y)

Explanation:

x:y is 1:3

=> y is bigger than x

=> y is 3x bigger than x

=> y = 3 lots of x

=>
`y =`
`3x`

=>
`(y)/(3)`
`= x`

=>
`(1)/(3) y`
`= x`

So x is
`(1)/(3)` of y

y is
`(3)/(4)` of (x+y)

If x = 1 and y = 3 (substitute in values)

=> 3 is
`(3)/(4)` of (4)

=> 3 is
`(3)/(4)`(4)

=> 3 is (
`(3)/(4)`x4)

=> 3 = 3

Therefore, y is
`(3)/(4)` of (x+y) is true

So the answers are:

x is
`(1)/(3)` of y

AND

y is
`(3)/(4)` of (x+y)

Answer 2

A. & B. are the corect answers

Explanation: