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1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining

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Math Expert
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1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining  [#permalink]

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New post 23 Jan 2019, 00:54
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:52) correct 23% (02:25) wrong based on 54 sessions

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VP
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D
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Concentration: Accounting, Finance
GPA: 3.68
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Re: 1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining  [#permalink]

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New post 23 Jan 2019, 01:15
1
Bunuel wrote:
1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining cookies are peanut butter, and the rest of the cookies are white chocolate. If 20 cookies are white chocolate, how many cookies are in the jar?

A 40

B 60

C 70

D 90

E 100


let there are x cookies in the jar.

chocolate chip = 1/3*x = x/3.

Remaining cookies = 2x/3.

PB = 2x/3 * 2/3 = 4x/9.

Remaining cookies = 2x/3 - 4x/9 = 2x /9.

2x/9 = white chips.

2x/9 = 20

x = 90.

D is the correct answer.
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1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining  [#permalink]

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New post 23 Jan 2019, 01:58
IMO D ie 90 cookies in the jar

chocolate chip cookies = 1/3
So remaining cookies =2/3

Peanut butter cookies=2/3 of remaining
ie 2/3*2/3=4/9 of total is PB

Remaining cookies= 1-(1/3+4/9)=1-7/9= 2/9 of total cookies

2/9 of total cookies = 20

Therefore Total cookies = 90.
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Re: 1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining  [#permalink]

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New post 23 Jan 2019, 08:08
Bunuel wrote:
1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining cookies are peanut butter, and the rest of the cookies are white chocolate. If 20 cookies are white chocolate, how many cookies are in the jar?

A 40

B 60

C 70

D 90

E 100



we can solve < 30 seconds this quesiton
given x/3 are chocolate cookies
so all options except b & d are valid

further we can notice that option b ends up being a fraction where as d stands as an integer

so IMO D is correct..
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Re: 1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining  [#permalink]

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New post 27 Jan 2019, 19:23
Bunuel wrote:
1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining cookies are peanut butter, and the rest of the cookies are white chocolate. If 20 cookies are white chocolate, how many cookies are in the jar?

A 40

B 60

C 70

D 90

E 100


We can let the total number of cookies = n. We see that n/3 cookies are chocolate chip. The remaining number of cookies is (2/3) x n = 2n/3. We know that 2/3 of these 2n/3 cookies are peanut butter, so (2/3)x(2n/3) are peanut butter. We can now create the equation:

n/3 + 2/3(2n/3) + 20 = n

n/3 + 4n/9 + 20 = n

Multiplying by 9, we have:

3n + 4n + 180 = 9n

180 = 2n

90 = n

Answer: D
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Re: 1/3 of the cookies in a jar are chocolate chip, 2/3 of the remaining   [#permalink] 27 Jan 2019, 19:23
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