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Of the 75 people in a room, 2/5 are college graduates. If 4/9 of the students who are not college graduates are seniors in high school, how many people in the room are neither college graduates nor high school seniors?

(A) 15
(B) 20
(C) 25
(D) 36
(E) 40



Answer :

Answer:

option C:

25

Step-by-step explanation:

total people = 75

College graduates = 2/5 of the total

= 2/5 * 75 = 30 people

left = 75 - 30 = 45 people

seniors in high school = 4/9 of the people who are not college graduates

= 4/9 * 45 = 20 people

thus,

people in the room who are neither college graduates nor high school seniors = 45 - 20 = 25

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