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In a certain high school graduating class, 60 percent of the students.

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In a certain high school graduating class, 60 percent of the students. [#permalink]

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New post 19 Oct 2017, 01:39
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Question Stats:

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In a certain high school graduating class, 60 percent of the students plan to attend college, and 40 percent of the students have grade point averages (GPAs) of 3.0 or above. If 30 percent of the students who plan to attend college have GPAs of 3.5 or above, how many of the students who plan to attend college have GPAs of 3.5 or above?

(1) 90 of the students who plan to attend college have GPAs of 3.0 or above.
(2) 90 of the students in the graduating class have GPAs of 3.5 or above.
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In a certain high school graduating class, 60 percent of the students. [#permalink]

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New post 05 Nov 2017, 09:34
This one is a really tricky question. Took me some time to understand what is asked.
Basically question is giving all the percentages, and asking you to tell the exact number.

Image

This table represents the given data (30% of 60% is 18%)
Question is asking how many students does 18% represent.

1. We are give x+18% is 90.
We can't find how much is 18% from this.
Insufficient

2. Here we are given 18+y% is 90.
We still can't find.
Insufficient.

Both.
Even after using both. We would not be able to find the values of x,y,z.
The statements just help us understand how many students do these percentages represent. Without there values, we can't tell how many is 18%.

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Re: In a certain high school graduating class, 60 percent of the students. [#permalink]

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New post 12 Dec 2017, 22:10
I thought each of them was enuf to solve.
So the total students = a
Information given:
Those who plan to go to college = 0.6a
Those who have GPA 3.0 above = 0.4a -> those who have GPA 3.5 above = 0.6a
30% of 0.6a = 0.18a Those who plan to attend college and have GPA 3.5 above -> 0.6a - 0.18a = 0.42a - Those who plan to attend to college and have GPA 3.0 above
Question: 0.18a = ?

(1) 90 of the students who plan to attend college have GPAs of 3.0 or above.
0.42a = 90
=> We will know the value of a -> 0.18a
=> Suf

(2) 90 of the students in the graduating class have GPAs of 3.5 or above.
0.6a = 90
=> Like (1)
=> Suf

Can anyone please correct me?

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Re: In a certain high school graduating class, 60 percent of the students. [#permalink]

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New post 12 Dec 2017, 22:59
lichting wrote:
In a certain high school graduating class, 60 percent of the students plan to attend college, and 40 percent of the students have grade point averages (GPAs) of 3.0 or above. If 30 percent of the students who plan to attend college have GPAs of 3.5 or above, how many of the students who plan to attend college have GPAs of 3.5 or above?

(1) 90 of the students who plan to attend college have GPAs of 3.0 or above.
(2) 90 of the students in the graduating class have GPAs of 3.5 or above.


I thought each of them was enuf to solve.
So the total students = a
Information given:
Those who plan to go to college = 0.6a
Those who have GPA 3.0 above = 0.4a -> those who have GPA 3.5 above = 0.6a
30% of 0.6a = 0.18a Those who plan to attend college and have GPA 3.5 above -> 0.6a - 0.18a = 0.42a - Those who plan to attend to college and have GPA 3.0 above
Question: 0.18a = ?

(1) 90 of the students who plan to attend college have GPAs of 3.0 or above.
0.42a = 90
=> We will know the value of a -> 0.18a
=> Suf

(2) 90 of the students in the graduating class have GPAs of 3.5 or above.
0.6a = 90
=> Like (1)
=> Suf

Can anyone please correct me?


One mistake you are making is marked in red.

40 percent of the students have grade point averages (GPAs) of 3.0 or ABOVE, so 60 percent of the students have grade point averages (GPAs) of BELOW 3.0.
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Re: In a certain high school graduating class, 60 percent of the students. [#permalink]

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New post 12 Dec 2017, 23:27
E? both looks insufficient..even after combining..tried both percent and set/subset way..some or other data just seems to be missing..correct me if i am wrong..expert advice recommended

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In a certain high school graduating class, 60 percent of the students. [#permalink]

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New post 13 Dec 2017, 00:42
Bunuel wrote:
lichting wrote:
In a certain high school graduating class, 60 percent of the students plan to attend college, and 40 percent of the students have grade point averages (GPAs) of 3.0 or above. If 30 percent of the students who plan to attend college have GPAs of 3.5 or above, how many of the students who plan to attend college have GPAs of 3.5 or above?

(1) 90 of the students who plan to attend college have GPAs of 3.0 or above.
(2) 90 of the students in the graduating class have GPAs of 3.5 or above.


I thought each of them was enuf to solve.
So the total students = a
Information given:
Those who plan to go to college = 0.6a
Those who have GPA 3.0 above = 0.4a -> those who have GPA 3.5 above = 0.6a
30% of 0.6a = 0.18a Those who plan to attend college and have GPA 3.5 above -> 0.6a - 0.18a = 0.42a - Those who plan to attend to college and have GPA 3.0 above
Question: 0.18a = ?

(1) 90 of the students who plan to attend college have GPAs of 3.0 or above.
0.42a = 90
=> We will know the value of a -> 0.18a
=> Suf

(2) 90 of the students in the graduating class have GPAs of 3.5 or above.
0.6a = 90
=> Like (1)
=> Suf

Can anyone please correct me?


One mistake you are making is marked in red.

40 percent of the students have grade point averages (GPAs) of 3.0 or ABOVE, so 60 percent of the students have grade point averages (GPAs) of BELOW 3.0.


Thanks Bunuel. so the same mistake with this one as well, right?
30% of 0.6a = 0.18a Those who plan to attend college and have GPA 3.5 above ->0.6a - 0.18a = 0.42a - Those who plan to attend to college and have GPA 3.0 above

Kudos [?]: 1 [0], given: 88

In a certain high school graduating class, 60 percent of the students.   [#permalink] 13 Dec 2017, 00:42
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