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At a trade show, hugh jackman purchased a number of old sports cards

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At a trade show, hugh jackman purchased a number of old sports cards  [#permalink]

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New post 03 Nov 2018, 10:36
2
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A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (02:58) correct 56% (02:17) wrong based on 18 sessions

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At a trade show, hugh jackman purchased a number of old sports cards, some of which were $17 per card and others $29 per card. How many $29 cards did hugh jackman purchase?

1) Hugh jackman purchased fewer than six $29 cards.
2) Hugh jackman spent a total of $179 on the cards.

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Re: At a trade show, hugh jackman purchased a number of old sports cards  [#permalink]

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New post 03 Nov 2018, 23:43
Abhi077 wrote:
At a trade show, hugh jackman purchased a number of old sports cards, some of which were $17 per card and others $29 per card. How many $29 cards did hugh jackman purchase?

1) Hugh jackman purchased fewer than six $29 cards.
2) Hugh jackman spent a total of $179 on the cards.


Let, the number of $17 cards purchased = x
the number of $29 cards purchased = y

Question: y = ?

Statement 1: Hugh jackman purchased fewer than six $29 cards.

i.e. x > y

NOT SUFFICIENT

Statement 2: Hugh jackman spent a total of $179 on the cards

i.e. 17x + 29y = 179

i.e. x = (179-29y)/17

First possible integer solution is x = 2 and y = 5

Second possible integer solution is x = 2+29=31 and y = 5-17=-12 NOT ACCEPTABLE
i.e. x and y will have unique solution as x and y MUST be positive integers

SUFFICIENT

Answer: Option B
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Re: At a trade show, hugh jackman purchased a number of old sports cards &nbs [#permalink] 03 Nov 2018, 23:43
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At a trade show, hugh jackman purchased a number of old sports cards

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