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Difficulty:
35%
(medium)
Question Stats:
44% (01:11) correct
55% (01:32) wrong based on 9 sessions
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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) \(\frac{x}{0.64} \)
(A) 0.064x
(B) 0.64x
(C) 6.4x
(D) \(\frac{x}{0.064}\)
(E) \(\frac{x}{0.64} \)
27 Feb 2025, 23:38
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OE
Translate the percent relations in the problem into algebraic statements. First, “a number x is 32% of a number y” becomes:
\(x = 0.32y\)
Similarly, “y is 20% of z” becomes:
\(y = 0.2z\)
Substituting for y from the second equation into the first eliminates y and gives the following relationship between x and z:
\(x = 0.32(0.2z)\\
x = 0.064z\)
Finally, the problem asks for z in terms of x, so isolate the variable z by dividing both sides of the equation by 0.064:
z=\(\frac{x}{0.064}\)
Translate the percent relations in the problem into algebraic statements. First, “a number x is 32% of a number y” becomes:
\(x = 0.32y\)
Similarly, “y is 20% of z” becomes:
\(y = 0.2z\)
Substituting for y from the second equation into the first eliminates y and gives the following relationship between x and z:
\(x = 0.32(0.2z)\\
x = 0.064z\)
Finally, the problem asks for z in terms of x, so isolate the variable z by dividing both sides of the equation by 0.064:
z=\(\frac{x}{0.064}\)
