# In fall 2014, 34% of applicants with a Math SAT of 700 or

In fall 2014, 34% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 16% with a Math SAT of less than 700 were admitted. Further, 36% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.)
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Jeffrey Jordon

Percent of candidates admitted = Percent of Math SAT score more than 700 and admitted + Percent of Math SAT score less than 700 and admitted

$=36×0.34+\left(100-36\right)×0.16$

$=22.48$

Percentage of admitted applicants that had a Math SAT of 700 or more $=36×\frac{0.34}{22.48}$

$=0.55×100$

$=55\mathrm{%}$