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# William was shopping for flour at Little Rock Deli and Grocery, which

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Math Expert
Joined: 02 Sep 2009
Posts: 43792
William was shopping for flour at Little Rock Deli and Grocery, which [#permalink]

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02 Oct 2017, 03:44
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:07) correct 50% (01:20) wrong based on 32 sessions

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William was shopping for flour at Little Rock Deli and Grocery, which carries only 2 kinds of flour. If at Little Rock Deli and Grocery regular white flour costs $1.80 per pound and organic wheat flour costs$2.70 per pound, how many pounds of flour did William buy?

(1) The total value of the flour William bought was $10.80 (2) The flour at Little Rock Deli and Grocery is sold only in whole pounds. [Reveal] Spoiler: OA _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 919 Location: India GPA: 3.82 William was shopping for flour at Little Rock Deli and Grocery, which [#permalink] ### Show Tags 02 Oct 2017, 05:27 Bunuel wrote: William was shopping for flour at Little Rock Deli and Grocery, which carries only 2 kinds of flour. If at Little Rock Deli and Grocery regular white flour costs$1.80 per pound and organic wheat flour costs $2.70, how many pounds of flour did William buy? (1) The total value of the flour William bought was$10.80
(2) The flour at Little Rock Deli and Grocery is sold only in whole pounds.

let the regular flour bought be $$a$$ pounds and that of organic be $$b$$ pounds. We need to calculate $$a+b$$

Statement 1: implies $$1.8a+2.7b=10.8$$
or $$2a+3b=12$$. from this equation there can be multiple values of $$a$$ & $$b$$. Hence insufficient

Statement 2: we cannot get the value of $$a$$ or $$b$$. Hence insufficient

Combining 1 & 2, we get $$a=6-\frac{3b}{2}$$. it is given that weights are in whole pounds, so if $$b=2, a=3; a+b=5$$ but if $$b=4,a=0$$ and $$a+b=4$$. Hence multiple values possible. Insufficient

Option E
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Joined: 26 Mar 2013
Posts: 1427
Re: William was shopping for flour at Little Rock Deli and Grocery, which [#permalink]

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03 Oct 2017, 04:16
Bunuel wrote:
William was shopping for flour at Little Rock Deli and Grocery, which carries only 2 kinds of flour. If at Little Rock Deli and Grocery regular white flour costs $1.80 per pound and organic wheat flour costs$2.70 per pound, how many pounds of flour did William buy?

(1) The total value of the flour William bought was $10.80 (2) The flour at Little Rock Deli and Grocery is sold only in whole pounds. Let regular flour = R & organic wheat flour = W (1) The total value of the flour William bought was$10.80

$$1.8R + 2.7W = 10.8$$..............divide by 0.9

$$2R + 3W = 12$$.................Do not assume R & W are integers..........Both can take any numbers as we can buy pounds of 1.5, 2.8...etc

Insufficient

(2) The flour at Little Rock Deli and Grocery is sold only in whole pounds.

We can buy endless combination. We do not have money spent on purchse

Insufficient

Combine 1 & 2

$$2R + 3W = 12$$

Let $$R = 0$$..then $$W = 4$$..$$Total = 4 pounds$$

Let $$W = 0$$ ...then $$R = 6$$....$$Total = 6 pounds$$

No clear value

Insufficient

Re: William was shopping for flour at Little Rock Deli and Grocery, which   [#permalink] 03 Oct 2017, 04:16
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