Question

The students in three classes are in the ratio 2:3:5 If 20 students are increased in each class, the ratio changes to 4:5:7. Find the total number of students before increase

Answer 1

Answer:

100 students

Step-by-step explanation:

Let the students in the classes A,B,C be 2x, 3x and 5x

(2x + 20):(3x + 20):(5x + 20) = 4:5:7

(2x + 20):(3x + 20) = 4:5

=> 5(2x + 20) = 4(3x + 20)

=> 10x + 100 = 12x + 80

=> 2x = 20

=> x = 10

Total number of students before increase = 2x + 3x + 5x = 10x = 100 students.

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