MathDB

In a new school

40

percent of the students are freshmen,

30

percent are sophomores,

20

percent are juniors, and

10

percent are seniors. All freshmen are required to take Latin, and

80

percent of the sophomores,

50

percent of the juniors, and

20

percent of the seniors elect to take Latin. The probability that a randomly chosen Latin student is a sophomore is

\frac{m}{n}

, where

m

and

n

are relatively prime positive integers. Find

m+n

Problem Statement