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# A ticket to a school play cost x dollars, where x is a whole number. A

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Math Expert
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A ticket to a school play cost x dollars, where x is a whole number. A  [#permalink]

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31 Mar 2019, 20:46
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Difficulty:

45% (medium)

Question Stats:

53% (02:05) correct 47% (01:57) wrong based on 19 sessions

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A ticket to a school play cost x dollars, where x is a whole number. A group of 9th graders buys tickets costing a total of \$48, and a group of 10th graders buys tickets costing a total of \$64. How many values for x are possible?

A. 1
B. 2
C. 3
D. 4
E. 5

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A ticket to a school play cost x dollars, where x is a whole number. A  [#permalink]

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Updated on: 01 Apr 2019, 09:19
Find the factors for the GCD between 48 and 64. GCD (48,64)= 16. No of unique factors of 16 = 5 Hence option E

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Originally posted by Arvind42 on 31 Mar 2019, 20:55.
Last edited by Arvind42 on 01 Apr 2019, 09:19, edited 2 times in total.
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Re: A ticket to a school play cost x dollars, where x is a whole number. A  [#permalink]

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01 Apr 2019, 01:13
Bunuel wrote:
A ticket to a school play cost x dollars, where x is a whole number. A group of 9th graders buys tickets costing a total of \$48, and a group of 10th graders buys tickets costing a total of \$64. How many values for x are possible?

A. 1
B. 2
C. 3
D. 4
E. 5

48 = 2^4*3
64= 2^6
LCM= 2^4 ; 16
and factors of 16 ; 2^4 = 5
IMO E
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A ticket to a school play cost x dollars, where x is a whole number. A  [#permalink]

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01 Apr 2019, 03:12
Here the target is basically to find the common divisors of 48 and 64

and we get 1, 2 , 4, 8,16

IMO E

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Re: A ticket to a school play cost x dollars, where x is a whole number. A  [#permalink]

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01 Apr 2019, 23:01
Find all the numbers that completely divide both 48 and 64. (As price of ticket is a whole number). The only such whole numbers are 1,2,4,8 and 16. Hence the answer is E
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Re: A ticket to a school play cost x dollars, where x is a whole number. A   [#permalink] 01 Apr 2019, 23:01
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