At a farmers market, a florist sells only roses

[Mo2men]

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.

Source: veritas

OA: E

[DavidG@VeritasPrep]

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.

Source: veritas

OA: E

S1: if the florist made $190, it's possible he sold 95 individual roses for $2 each. It's also possible that he sold 10 bouquets for $19 each. At a dozen roses per bouquet, he'd have sold 10*12 = 120 roses. Because we don't have a unique value for the number of roses sold, this statement is not sufficient alone.

S2: Clearly not sufficient on its own. He could have sold 95 roses or 96, etc.

Together: We can use the same cases we used in S1. He may have sold 95 roses individually. Or he may have sold 10 bouquets for a total of 120 roses. Together the statements are not sufficient. The answer is E

[Scott@TargetTestPrep]

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.

We can let the number of individual roses sold = r and the number of bouquets sold = b. We need to determine the number of roses sold.

Statement One Alone:

The florist made $190.

We can create the following equation:

2r + 19b = 190

2r = 190 - 19b

2r = 19(10 - b)

r = [19(10 - b)]/2

Since r must be an integer, 19(10 - b) must be a multiple of 2. Since 19 is NOT a multiple of 2, 10 - b must be a multiple of 2. Thus b could equal 0, 2, 4, 6, 8, or 10. Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The florist sold at least 95 roses.

The information in statement two is not sufficient to determine how many total roses were sold. We can eliminate answer choice B.

Statements One and Two Together:

Using the information in statements one and two, we know that:

If b = 2, then r = 76, and thus a total of (2 x 12) + 76 = 100 roses were sold.

Or

If b = 4, then r = 57, and thus a total of (4 x 12) + 57 = 105 roses were sold.

Since we see that either 100 or 105 roses could have been sold, the statements together are not sufficient to answer the question.

Answer: E

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Hi Mo2men,

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: E

GMAT assassins aren't born, they're made,
Rich