Question
A school has students who like three games. 28% like
cricket, 32% like rugby and the remaining like football. If the number of students who like football is 400 more than 75% of those who like rugby, find the total number of students.Solution
ATQ, Let the total number of students in the school be 100x. Number of students who like cricket = 100x * 28/100 = 28x Number of students who like rugby = 100x * 32/100 = 32x Number of students who like football = 100x – 28x – 32x = 40x 40x – (32x * 3/4) = 400 40x – 24x = 400 16x = 400 x = 25 Total number of students in the school = 100 * 25 = 2500
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