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At a farmers market, a florist sells only roses, and customers can buy

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At a farmers market, a florist sells only roses, and customers can buy  [#permalink]

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New post 19 Feb 2017, 23:32
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (01:36) correct 43% (01:16) wrong based on 131 sessions

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At a farmers market, a florist sells only roses, and customers can buy in two quantities: individual roses sell for \($2\) each and bouquets of one dozen roses sell for \($19\). How many roses did the florist sell?

(1) The florist made \($190\).
(2) The florist sold at least 95 roses.

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Re: At a farmers market, a florist sells only roses, and customers can buy  [#permalink]

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New post 20 Feb 2017, 01:23
Is it E
Cos
Statement 1: let there be x bouquet of a dozen each and y individual roses
So
19x + 2y=120
We can't find 12x+ y from here..As we HV to find total number of roses

Using statement 2
12x +y >= 95
We donot know the exact value of 12x + y from here as well

Combining both d statements
We get a set of values like x=10 and y =0
X= 8 and y =19

So E

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Re: At a farmers market, a florist sells only roses, and customers can buy  [#permalink]

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New post 21 Feb 2017, 23:00
Nailin how did u derive first equation

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Re: At a farmers market, a florist sells only roses, and customers can buy  [#permalink]

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New post 30 May 2017, 23:19
Tango3 wrote:
Nailin how did u derive first equation

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Hello,
Let me try explaining.

The question prompt states that the shopkeeper only sells in 2 manners, either a single rose for 2$ or a dozen roses for 19$.

Statement 1 mentions that the shopkeeper made a total of 190 rs.
that makes the equation 2x + 19y = 190, where x and y are the no. of single roses sold and bouquet of dozen roses sold.
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Re: At a farmers market, a florist sells only roses, and customers can buy  [#permalink]

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New post 26 Dec 2017, 11:03
Hi All,

This question essentially comes down to adding multiples of two numbers (although we do have to note that each $2 'option' is 1 rose and each $19 'option' is actually 12 roses). We're asked how many roses the florist sold.

1) The florist made $190.

$190 is an interesting number, as it's a multiple of both 2 and 19

IF the florist sold....
95 individual roses, then the total would be $190
10 dozen (re: 120) roses, then the total would be $190
So the answer could be 95 or 120
Fact 1 is INSUFFICIENT

2) The florist sold at least 95 roses.

The same options from Fact 1 ALSO fit Fact 2...

IF the florist sold....
95 individual roses, then the total would be $190
10 dozen (re: 120) roses, then the total would be $190
So the answer could be 95 or 120
Fact 2 is INSUFFICIENT

Combined, no extra work is required since we already have two examples that fit both Facts (and provide different answers).
Combined, INSUFFICIENT

Final Answer:

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Re: At a farmers market, a florist sells only roses, and customers can buy &nbs [#permalink] 26 Dec 2017, 11:03
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