Problem: In a group, the ratio of male to female was 1 to 4. After 140 additional males were added, the ratio of male to female became 2 to 3. How large was the entire group after the additional males were added?
View all: ESTERN BANK | OFFICER | WRITTEN QUESTION (MATH) | 2005
Correct Answer: 560
Explanation:
Let, the number of male be x
Then the number of female be 4x
Total number of male and female = x + 4x = 5x
According to the question,
x+140:4x=2:3
=> $\frac{x+140}{4x}=\frac{2}{3}$
=> 3x + 420 = 8x
=> 5x = 420
=> x = 84
Total number of member be = 5x + 140= 5 x 84 + 140= 420 + 140 = 560
