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?


Ratio accepted: not accepted = 14:31, or {{{14/31}}}


Let multiplicative factor = x

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


As fraction accepted = {{{14/45}}}, then amount accepted = {{{(14/45)1665}}}, or {{{highlight_green(518)}}}


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