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# Two children named Peter and Wanda are playing a number game. If Peter

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Math Expert
Joined: 02 Sep 2009
Posts: 58432
Two children named Peter and Wanda are playing a number game. If Peter  [#permalink]

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01 Nov 2018, 00:57
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:14) correct 21% (01:14) wrong based on 46 sessions

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Two children named Peter and Wanda are playing a number game. If Peter's number z is 200 percent of Wanda's number, what is 20 percent of Wanda's number, in terms of z?

A. 10z

B. 2z

C. z/5

D. z/10

E. z/20

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Re: Two children named Peter and Wanda are playing a number game. If Peter  [#permalink]

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01 Nov 2018, 04:19
1
z = (200/100)*W , W being Wanda's number.
So, z = 2W or W = z/2
20% of W = (20/100)*(z/2) = z/10

Option D
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Joined: 04 Jan 2015
Posts: 3078
Re: Two children named Peter and Wanda are playing a number game. If Peter  [#permalink]

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01 Nov 2018, 05:21

Solution

Given:
• Peter’s number, z = 200% of Wanda’s number

To find:
• 20% of Wanda’s number, in terms of z

Approach and Working:
• z = (200/100) * Wanda’s number
o Implies, Wanda’s number = $$\frac{z}{2}$$

• 20% of $$\frac{z}{2} = (\frac{20}{100}) * (\frac{z}{2}) = \frac{z}{10}$$

Hence, the correct answer is Option D

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Re: Two children named Peter and Wanda are playing a number game. If Peter   [#permalink] 01 Nov 2018, 05:21
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