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