Carcass wrote:

A number x is 32% of a number y. If y is 20% of z, what is z in terms of x?

A. \(0.064x\)

B. \(0.64x\)

C. \(6.4x\)

D. \(\frac{x}{0.064}\)

E. \(\frac{x}{0.64}\)

Kudos for R.A.E

We can create the equations:

x = 0.32y

x = 32y/100

100x/32 = y

25x/8 = y

and

y = 0.2z

y = z/5

Substituting, we have:

25x/8 = z/5

125x/8 = z

We see that choices A, B, and C will not be correct. To see which choice between D and E is correct, let’s multiply 125x/8 by 8/8:

1000x/64 = x/(64/1000) = x/0.064

So z = x/0.064

Answer: D

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Jeffery Miller

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