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At a certain state university last term, there were p students each of

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Bunuel
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At a certain state university last term, there were p students each of [#permalink] New post   19 Jun 2018, 02:16
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At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition?

(1) Of the p students, 20 percent paid the full tuition.
(2) The p students paid a total of $91.2 million for tuition last term.
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pushpitkc
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At a certain state university last term, there were p students each of [#permalink] New post   19 Jun 2018, 03:29
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Bunuel wrote:
At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition?

(1) Of the p students, 20 percent paid the full tuition.
(2) The p students paid a total of $91.2 million for tuition last term.


1. If 20% of the p students paid the full tuition, the remaining 80% of the
students paid half the full tuition. The total tuition collected by the certain
state university is 20% + 40% or 60% of the tuition. \(\frac{20}{60} * 100\) or \(33.3\) percent
of the tuition was paid by students who paid the full tuition (Sufficient)

2. Without knowing how many students paid full tuition and how many paid
half of the full tuition, and knowing the total amount collected, we can't give
a percentage for the tuition paid by students(who paid the full tuition) (Insufficient) (Option A)
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At a certain state university last term, there were p students each of [#permalink] New post   20 Jun 2018, 11:41
Need to find how much was paid from P students and total amount of tuition collected

(1) Of the p students, 20 percent paid the full tuition.

We have 20% paid full ,80% paid half ==20%full+40%full = 60% full--> Sufficient -->Ratios tend to Sufficient


(2) The p students paid a total of $91.2 million for tuition last term.

We were not given any info about Total Tuitions collected ---> Insufficient .

Option A
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Re: At a certain state university last term, there were p students each of [#permalink] New post   27 Jul 2023, 05:44
Bunuel can you please share the answer for this?
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Re: At a certain state university last term, there were p students each of [#permalink] New post   14 Aug 2023, 03:23
pushpitkc wrote:
Bunuel wrote:
At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition?

(1) Of the p students, 20 percent paid the full tuition.
(2) The p students paid a total of $91.2 million for tuition last term.


1. If 20% of the p students paid the full tuition, the remaining 80% of the
students paid half the full tuition. The total tuition collected by the certain
state university is 20% + 40% or 60% of the tuition. \(\frac{20}{60} * 100\) or \(33.3\) percent
of the tuition was paid by students who paid the full tuition (Sufficient)

2. Without knowing how many students paid full tuition and how many paid
half of the full tuition, and knowing the total amount collected, we can't give
a percentage for the tuition paid by students(who paid the full tuition) (Insufficient) (Option A)


If you explain another way that will be easier.
20 % full paid, lets say each paid n dollars
20xn
Then 80 % is n/2 >> 80xn/2 =40n
Total=20n+40n=60n
(20n)/(60n)x 100 which is 33.3 %
Hope you got it

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Re: At a certain state university last term, there were p students each of [#permalink]
14 Aug 2023, 03:23
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Bunuel
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