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There are enough available spaces on a school team to select at most

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by BTGModeratorVI » Thu Jun 18, 2020 5:37 am

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There are enough available spaces on a school team to select at most 1/3 of the 50 students trying out for the team. What is the greatest number of students that could be rejected while still filling all available spaces for the team?

(A) 16
(B) 17
(C) 33
(D) 34
(E) 35
Answer: D
Source: Manhattan prep
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Source: — Problem Solving |

BTGModeratorVI wrote:
Thu Jun 18, 2020 5:37 am
There are enough available spaces on a school team to select at most 1/3 of the 50 students trying out for the team. What is the greatest number of students that could be rejected while still filling all available spaces for the team?

(A) 16
(B) 17
(C) 33
(D) 34
(E) 35
Answer: D
Solution:

To fill the space on the team, a maximum of 16 people could be selected, so 50 - 16 = 34 can be rejected while still filling all available spaces.

Answer: D

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