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Math Expert V
Joined: 02 Sep 2009
Posts: 53709
A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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Difficulty:   75% (hard)

Question Stats: 47% (02:09) correct 53% (01:59) wrong based on 153 sessions

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A hardware store purchased x identical standard flashlights at \$5 each and y identical deluxe flashlights at \$7 each. The total cost to the store for both types of flashlights was \$92. What is the ratio of x to y ?

A. 5 to 7
B. 7 to 5
C. 5 to 1
D. 17 to 1
E. It cannot be determined from the information given.

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A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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Bunuel wrote:
A hardware store purchased x identical standard flashlights at \$5 each and y identical deluxe flashlights at \$7 each. The total cost to the store for both types of flashlights was \$92. What is the ratio of x to y ?

A. 5 to 7
B. 7 to 5
C. 5 to 1
D. 17 to 1
E. It cannot be determined from the information given.

Back solve the question .

Option D matches.

17*5 + 1*7 = 92

The best answer is D.

Originally posted by KSBGC on 29 Nov 2018, 06:55.
Last edited by KSBGC on 29 Nov 2018, 10:47, edited 1 time in total.
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Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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Bunuel wrote:
A hardware store purchased x identical standard flashlights at \$5 each and y identical deluxe flashlights at \$7 each. The total cost to the store for both types of flashlights was \$92. What is the ratio of x to y ?

A. 5 to 7
B. 7 to 5
C. 5 to 1
D. 17 to 1
E. It cannot be determined from the information given.

In mathematical terms, the question becomes 5*x+7*y=92, there is no other information, so let's find out how unit digit can be achieved. 5 will produce only 0 or 5 as the unit digit. Say, unit digit of 5x is 0, that means unit digit of 7y should be 2, that is possible for y=6, putting it in the equation y=6 and x=5 (92-7*6/10) Ratio is 5:6,
The other case where unit digit of 5x is 5, unit digit of 7y should be 7, putting in the equation, y=1 and x=17, Ratio is 17:1, also one of the options.

Since there is ambiguity, answer IMO is E.
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Intern  B
Joined: 31 May 2018
Posts: 10
Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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hi Bunuel,
what are your comments on the above?
Manager  S
Joined: 10 Mar 2016
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Location: India
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GMAT 1: 550 Q44 V23 Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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The equation becomes 5x+7y=92

We need to calculate x/y.

out of the options, Option D will give the value 92.

There can be other value of x/y. If the option D was not given then the correct answer could be E.

But in this case, we are getting the value.

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GMAT Tutor B
Joined: 07 Nov 2016
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GMAT 1: 760 Q51 V42 Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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2
The equation we get is 5x + 7y = 92

From the answer choices x = 17 , y = 1 satisfies and ratio = 17/1
To get another value subtract 7 which is the coefficient of y in the equation from the previous value of x , so new value of x = 10
Add 5,the coefficient of x in the equation to the previous value of y, So new value of y = 6
It can be seen that 5(10) + 7(6) = 92
So, another value of the ratio = 10/6

So, Cannot be determined Choice E
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GMAT 1: 550 Q44 V23 Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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ksrutisagar wrote:
The equation we get is 5x + 7y = 92

From the answer choices x = 17 , y = 1 satisfies and ratio = 17/1
To get another value subtract 7 which is the coefficient of y in the equation from the previous value of x , so new value of x = 10
Add 5,the coefficient of x in the equation to the previous value of y, So new value of y = 6
It can be seen that 5(10) + 7(6) = 92
So, another value of the ratio = 10/6

So, Cannot be determined Choice E

Hi ksrutisagar,

Thanks for helping.

But I have one question. Why do we require another value? The answer that you stated is not in the answer choice. Question asks about to find the ratio, we have the ratio. If this were DS question it would definitely answer E.

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e-GMAT Representative D
Joined: 04 Jan 2015
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Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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Solution

• A hardware store purchased x identical standard flashlights at \$5 each
o And, y identical deluxe flashlights at \$7 each.
• The total cost to the store for both types of flashlights was \$92.

To find:
• Ratio of x to y=?

Approach and Working:
• 5x+7y= 92
o For x= 17, y=1
o For x= 10, y= 6
o For x= 3, y= 11

Hence, x:y cannot be determined form the given information.
Hence, the correct answer is option E.

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GMAT 1: 760 Q51 V42 Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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tapasgupta wrote:
ksrutisagar wrote:
The equation we get is 5x + 7y = 92

From the answer choices x = 17 , y = 1 satisfies and ratio = 17/1
To get another value subtract 7 which is the coefficient of y in the equation from the previous value of x , so new value of x = 10
Add 5,the coefficient of x in the equation to the previous value of y, So new value of y = 6
It can be seen that 5(10) + 7(6) = 92
So, another value of the ratio = 10/6

So, Cannot be determined Choice E

Hi ksrutisagar,

Thanks for helping.

But I have one question. Why do we require another value? The answer that you stated is not in the answer choice. Question asks about to find the ratio, we have the ratio. If this were DS question it would definitely answer E.

IMO the question is slightly ambiguous. If it had been a "could be " question the answer would be 17/1 , but since the question is which of the following is the ratio, I think the answer is E
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Re: A hardware store purchased x identical standard flashlights at \$5 each  [#permalink]

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I disagree with the question ... teh question is "what is the ratio x to y" ....it is not "WHAT MUST be the ratio"

It depends on an individual as to what he chooses as the value and for his value the ratio is true...so essentially his/her answer is right...
the question could be better worded as to either "what CAN be the ratio" or "what MUST be the ratio" Re: A hardware store purchased x identical standard flashlights at \$5 each   [#permalink] 17 Dec 2018, 02:24
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# A hardware store purchased x identical standard flashlights at \$5 each

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