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

2021-12-20
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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Percent of candidates admitted = Percent of Math SAT score more than 700 and admitted + Percent of Math SAT score less than 700 and admitted

$$= 36 \times 0.34 + (100-36) \times 0.16$$

$$= 22.48$$

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

$$= 0.55 \times 100$$

$$= 55 \%$$