Options: A: z = 2x, B: z=x/2, C: z=x/4, D: z=4x

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A. z=2x

Equation 1: (x/100)y=100

Equation 2: (y/100)z=200

Solve equation 1 for y, substitute y=10000/x into equ 2

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the trick is to know that x% of y always equals y% of x. then you can see that z is twice as large as x, so z = 2x is the correct relation.

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Answer is A:z=2x

x/100 * y = 100

x=10000/y..............(1)

y/100 * z =200

y=20000/z

Put the value of y into equation (1)

x=10000/20000*z

z=2x

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