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Bill bought several binders. If each binder was either a $2.20 binder

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Bill bought several binders. If each binder was either a $2.20 binder  [#permalink]

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New post 17 Apr 2017, 01:20
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  15% (low)

Question Stats:

80% (01:15) correct 20% (01:29) wrong based on 41 sessions

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Bill bought several binders. If each binder was either a $2.20 binder or a $4.40 binder, how many $4.40 binders did Bill buy?

(1) The total value of the binders Bill bought was $22.00.
(2) Bill bought twice as many $4.40 binders as $2.20 binders.

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Re: Bill bought several binders. If each binder was either a $2.20 binder  [#permalink]

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New post 17 Apr 2017, 08:46
1
Bill bought several binders. If each binder was either a $2.20 binder or a $4.40 binder, how many $4.40 binders did Bill buy?

Let the total number of $2.20 binders Bill bought = a
Let the total number of $4.40 binders Bill bought = b

(1) The total value of the binders Bill bought was $22.00.

2.2a+4.4b = 22
22a+44b = 220
2a+4b=20
a+2b=10

As there may be multiple combinations for a,b [(0,5),(2,4),(4,3),(6,2),(8,1)], this statement is not sufficient.

(2) Bill bought twice as many $4.40 binders as $2.20 binders.

b = 2a

As this statement does not give further information, this statement is not sufficient.

Combining both statement gives the value of a,b as 2,4.

Answer is C
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Re: Bill bought several binders. If each binder was either a $2.20 binder  [#permalink]

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New post 17 Apr 2017, 08:47
Bunuel wrote:
Bill bought several binders. If each binder was either a $2.20 binder or a $4.40 binder, how many $4.40 binders did Bill buy?

(1) The total value of the binders Bill bought was $22.00.
(2) Bill bought twice as many $4.40 binders as $2.20 binders.


Let no. of $2.2 binder =x
& no. of $4.4 binder =y

(1) 2.2x + 4.4y=22
insuff

(2) y=2x
insuff

Combining we get definite value by putting y =2x in 2.2x + 4.4y=22

Ans C
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Re: Bill bought several binders. If each binder was either a $2.20 binder  [#permalink]

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New post 17 Apr 2017, 20:25
Option C

Binder A costs = 4.40, Binder B costs = 2.20.
No. of A = ?

I: Total expenditure = 22.00. Insufficient.

II: No. of A = 2*No. of B. Insufficient.

I+II: Sufficient. No. of A = 4. Sufficient.
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Re: Bill bought several binders. If each binder was either a $2.20 binder  [#permalink]

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New post 07 Mar 2019, 08:03
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Re: Bill bought several binders. If each binder was either a $2.20 binder   [#permalink] 07 Mar 2019, 08:03
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