Question

16. The ratio of the number of students in two class-
rooms, C and C2, is 2 : 3. It is observed that after
shifting ten students from Ci to C2, the ratio is 3:7.
Further, how many students have to be shifted
from C2 to C, for the new ratio to become 9:11?
(b) 15
(d) 8
(a) 10
(c) 20​

Answer 1

Answer:

b) 15

Step-by-step explanation:

Consider the number of students in C1 and C2 are 2x and 3x

Given (2x−10):(3x+10)=3:7

14x-70 = 9x+30

5x=100

x=20 --- 1

Let y be the number of students to be shifted from C2 to C1.

Substitute value of x in (2x−10+y):(3x+10−y)=9:11

(30+y):(70-y)=9:11

330+11y = 630-9y

20y = 300

y= 15

hope this helps

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