SOLUTION: For every 14 students who were accepted for admission to a particular university, there were 31 students who were not accepted. If 1665 students applied, how many were accepted for

Question 683802: For every 14 students who were accepted for admission to a particular university, there were 31 students who were not accepted. If 1665 students applied, how many were accepted for admission?
Found 3 solutions by josmiceli, lynnlo, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The ratio of ( accepted ) / ( not accepted ) =
Let = number who were accepted
= number who were not accepted
--------------

518 were accepted
check:

OK
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
532 accepted
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

For every 14 students who were accepted for admission to a particular university, there were 31 students who were not accepted. If 1665 students applied, how many were accepted for admission?

Ratio accepted: not accepted = 14:31, or

Let multiplicative factor = x
Then: 14x + 31x = 1,665
45x = 1,665
x = 37

As fraction accepted = , then amount accepted = , or

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