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24 votes
The ratio x: y is 1:3

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

2 Answers

8 votes

Answer:

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)

User Macs Dickinson
by
8.2k points
8 votes

Answer:

Option A

Explanation:

x : y = 1 : 3

This can be also written as


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

Multiplying y on both the sides


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


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

Hence , x is one-third of y

User Demario
by
8.0k points

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