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A hardware store purchased x identical standard flashlights at $5 each

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

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New post 29 Nov 2018, 00:14
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

46% (01:47) correct 54% (01:38) wrong based on 67 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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New post Updated on: 29 Nov 2018, 09:47
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 selim on 29 Nov 2018, 05:55.
Last edited by selim on 29 Nov 2018, 09:47, 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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New post 29 Nov 2018, 08:39
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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Re: A hardware store purchased x identical standard flashlights at $5 each  [#permalink]

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New post 06 Dec 2018, 06:38
hi Bunuel,
what are your comments on the above?
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Re: A hardware store purchased x identical standard flashlights at $5 each &nbs [#permalink] 06 Dec 2018, 06:38
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A hardware store purchased x identical standard flashlights at $5 each

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