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The players on a basketball team made some three-point shots, some two

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The players on a basketball team made some three-point shots, some two  [#permalink]

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New post 31 Mar 2019, 20:42
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A
B
C
D
E

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Question Stats:

65% (01:54) correct 35% (02:28) wrong based on 26 sessions

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The players on a basketball team made some three-point shots, some two-point shots, and some one-point free throws. They scored as many points with two-point shots as with three-point shots. Their number of successful free throws was one more than their number of successful two-point shots. The team's total score was 61 points. How many free throws did they make?

A. 13
B. 14
C. 15
D. 16
E. 17

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Re: The players on a basketball team made some three-point shots, some two  [#permalink]

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New post 01 Apr 2019, 03:24
Bunuel wrote:
The players on a basketball team made some three-point shots, some two-point shots, and some one-point free throws. They scored as many points with two-point shots as with three-point shots. Their number of successful free throws was one more than their number of successful two-point shots. The team's total score was 61 points. How many free throws did they make?

A. 13
B. 14
C. 15
D. 16
E. 17


free throws 1 point ; a
two point ; b
three point; c
to determine a+b+c
given
a+2b+3c=61
2b=3c
a=1+b
1+b+2b+2b=61
b= 12
z= 13
IMO A
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Re: The players on a basketball team made some three-point shots, some two  [#permalink]

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New post 01 Apr 2019, 03:46
Number of 2 point shots be x, 3 points be y, free throws be z.
2x=3y and z=x+1
2X+3Y+Z=61. By Substitution we get 2X+2X+X+1=61. X=12. So z= 13. Option A

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Re: The players on a basketball team made some three-point shots, some two  [#permalink]

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New post 30 May 2020, 19:17
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Re: The players on a basketball team made some three-point shots, some two   [#permalink] 30 May 2020, 19:17

The players on a basketball team made some three-point shots, some two

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