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Positive integer \( y \) is 50% of 50% of positive integer \( x \), and \( y\% \) of \( x \) equals 100. What is the value of \( x \)?

A. 200
B. 100
C. 50
D. 2000

Answer :

Final answer:

To find the value of x in the given equations, substitute the value of y and solve for x.

The value of x is 200.

Explanation:

To find the value of x, we need to solve the given equations. We know that y is 50% of 50% of x, so we can write it as 0.5 * 0.5 * x = y.

We are also given that y% of x equals 100, so we can write it as (y/100) * x = 100.

Substituting the value of y from the first equation, we get (0.5 * 0.5 * x/100) * x = 100.

Solving this equation, we find that x = 200.

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