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# In order for the school to sponsor a senior class trip, a petition mus

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
In order for the school to sponsor a senior class trip, a petition mus  [#permalink]

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11 Jan 2018, 23:01
00:00

Difficulty:

35% (medium)

Question Stats:

75% (01:31) correct 25% (01:27) wrong based on 54 sessions

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In order for the school to sponsor a senior class trip, a petition must be signed by at least 3/4 of the 147 seniors. What is the least number of signatures that the school needs to sponsor the trip?

A. 112
B. 111
C. 110
D. 37
E. 36

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Re: In order for the school to sponsor a senior class trip, a petition mus  [#permalink]

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21 Jan 2018, 23:57
Bunuel wrote:
In order for the school to sponsor a senior class trip, a petition must be signed by at least 3/4 of the 147 seniors. What is the least number of signatures that the school needs to sponsor the trip?

A. 112
B. 111
C. 110
D. 37
E. 36

We just have to find closest integer which is to 3/4 of 147 (because 147 is not divisible by 4).

3/4 of 147 = 110.25.
But if petition is signed by only 110 people, then it will be less than the required number. So it must be signed by at least 111 people.

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Re: In order for the school to sponsor a senior class trip, a petition mus  [#permalink]

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22 Jan 2018, 09:24
Bunuel wrote:
In order for the school to sponsor a senior class trip, a petition must be signed by at least 3/4 of the 147 seniors. What is the least number of signatures that the school needs to sponsor the trip?

A. 112
B. 111
C. 110
D. 37
E. 36

$$\frac{3}{4}*147 = 110.25$$

Since the number of students can't be in decimals, the school requires 111 students, answer must be (B)
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Abhishek....

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Re: In order for the school to sponsor a senior class trip, a petition mus   [#permalink] 22 Jan 2018, 09:24
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