Final answer:
The correct statement given the ratio x : y as 1 : 3 is B) y is 3/4 of (x + y). Statements A), C) and D) are incorrect based on the information provided in the ratio.
Step-by-step explanation:
In this problem, we are given the ratio x : y as 1 : 3. This ratio means for every one unit of x there are three units of y. With this understanding, we can determine the truth of the given statements.
A) x is 1/3 of y - Incorrect. x is 1/4 of the total quantity (x + y).
B) y is 3/4 of (x + y) - Correct. y is 3 parts out of a total of 4 parts (x + y).
C) x is 1/4 of y - Incorrect. It should say x is 1/4 of the total quantity (x + y).
D) y is 3/4 of x - Incorrect. This statement is not true with the given ratio.
Therefore, the only correct statement from the options provided is B) y is 3/4 of (x + y).