Official Guide Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x? A. 50 B. 100 C. 200 D. 1000 E. 2000 OA C

AAPL wrote: ↑Tue Nov 10, 2020 6:28 pm Official Guide Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x? A. 50 B. 100 C. 200 D. 1000 E. 2000 OA C Solution: We can create the following equations: y = (0.5)(0.5)x y = 0.25x and (y/100)x = 100 Substituting y = 0.25x into the above equation yields: (0.25x/100)x = 100 0.25x^2 = 10,000 x^2 = 40,000 x = 200 Answer: C

AAPL wrote: ↑Tue Nov 10, 2020 6:28 pm Official Guide Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x? A. 50 B. 100 C. 200 D. 1000 E. 2000 OA C Positive integer y is 50 percent of 50 percent of positive integer x We can write: y = (50/100)(50/100)(x) Simplify: y = (1/2)(1/2)(x) Simplify: y = x/4 y percent of x equals 100. We can write: (y/100)(x) = 100 Simplify: xy/100 = 100 Multiply both sides of the equation by 100 to get: xy = 10,000 What is the value of x? Take: xy = 10,000 Replace y with x/4 to get: x(x/4) = 10,000 Simplify: x²/4 = 10,000 Multiply both sides by 4 to get: x² = 40,000 Solve: x = 200 or x = -200 Since we're told x is positive, we can be certain that x = 200 \ Answer: C

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