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

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Math Expert
Joined: 02 Sep 2009
Posts: 58421
Bill bought several binders. If each binder was either a \$2.20 binder  [#permalink]

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17 Apr 2017, 01:20
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:13) correct 18% (01:41) wrong based on 50 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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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.

VP
Joined: 05 Mar 2015
Posts: 1000
Re: Bill bought several binders. If each binder was either a \$2.20 binder  [#permalink]

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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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Joined: 18 Oct 2016
Posts: 130
Location: India
WE: Engineering (Energy and Utilities)
Re: Bill bought several binders. If each binder was either a \$2.20 binder  [#permalink]

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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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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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