From 2000 to 2010 the number of faculty members in Vrije University Amsterdam increased by 20%. If the total number of professors, assistant professors and lecturers remained the same, and the number of instructors increased by 50%, how many adjuncts were there in 2010?
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This question lacks data, as @bankholiday said. I think the correct answer is "the qestion itself is incomplete"
I don't know if there's something lost in translation here, but these math problems are missing data. If you're asking "how many adjuncts were there in 2010?" then there needs to me more data. @crptoguys @satyamsoni and @kona are all literally just making up data. These are faculty members too. You can't have a 66.67% of a person so there shouldn't be any fractions either. So I don't understand why any of you are doing this. Make a logical question and I will give you the answer.
no, but if you have 3 people total making up one group and two of those people were in the IT department, you would say that 66.67%(.666 continued) of that group is in IT. Hence how you would have 66.67%, not of a person, but of a whole.
no thats not how the numbers work. i see what you're saying but even in this broken problem that's not correct. look below at @satyamsoni's answer. The number before that crazy fraction states that there are 42.5 adjuncts. We're not talking about what percent of the faculty are adjuncts, we're talking about how many adjuncts there were in 2010.
The answer to the ultimate question of life, the universe and everything is 42.
the answer is 42
let there be 100 faculty
increase in 20% means now there will be 120 faculty members
professors, asst. professors, lecturers remain constant = 70
instructors increase by 50% so they become 7.5 ~ 8
now total = 78
120-78= 42
adjuncts = 42
Ans. is 35.416666666666..........(35.417 approx.)
let there be 100 faculty
increase in 20% means now there will be 120 faculty members
professors, asst. professors, lecturers remain constant = 70
instructors increase by 50% so they become 7.5
now total = 70 + 7.5 = 77.5
Total no. of adjuncts 120-77.5= 42.5
adjuncts = 42.5. It's a figure of 2010
So it should be treated in percentage as a figure of 2010.
Now, because the faculty members increased by 20 % of total of 100 we will treat total member as 120 member then 42.5 is number of adjuncts out of 120 members
In % form (42.5/120)×100 = 35.41666666666.......(35.417 approx.)
Let the number of faculty members in Vrije University 2000 be y,
the number of faculty members in Vrije University 2010 will be 1.2y.
let the number of adjuncts in 2010 is ?y,
2010 the total number of professors is 0.35y,
assistant professors is 0.25y,
lecturers is 0.1y,
the number of instructors is (0.05y)x(1.5),<-because of increase 50%.
the number of adjuncts is 0.25Y.
In 2010, 1.2y=0.35y+0.25y+0.1y+0.075y+?y,
so ? will be 0.425, the number of adjuncts in 2010 was increase 17.5%.