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At a farmers market, a florist sells only roses, and customers can buy in two quantities: individual roses...

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At a farmers market, a florist sells only roses, and customers can buy in two quantities: individual roses...

by AAPL » Thu Sep 03, 2020 10:59 am

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At a farmers market, a florist sells roses only, and the 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

OA E
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Source: — Data Sufficiency |
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Re: At a farmers market, a florist sells only roses, and customers can buy in two quantities: individual roses...

by deloitte247 » Sun Sep 06, 2020 11:39 am

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Let no. of individual roses = r
Let no. of bouquet of 1 dozen = b
price of 1 r = $2
price of 1 b = $19
Target question: How many roses did the florist sell?
Total no of roses = r + 12b
Statement 1: The florist made $190
2r + 19b = 190
The exact value of r and b are unknown. So, therefore, r + 12b cannot be evaluated. Hence, statement 1 is NOT SUFFICIENT.

Statement 2: The florist sold at least 95 roses
$$r+12\ge95$$
Also, we do not know the exact value of r. And as such, the target question cannot be answered. Hence, statement 2 is NOT SUFFICIENT.

Combining both statements together:
From statement 1: 2r + 19b = 190
$$From\ statement\ 2:\ r+12\ge95$$
r+12b could produce any number between 95 and infinity. Hence, the total number of rose cannot be ascertained. Therefore, both statements combined are NOT SUFFICIENT.
Answer = option E
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