The ratio of the total amount distributed in all the males and females as salary is 6: 5. The ratio of the salary of each male and female is 2: 3. Find the ratio of the no. of males and females.A4:5B9:5C5:5D9:3
Question
The ratio of the total amount distributed in all the males and females as salary is 6: 5. The ratio of the salary of each male and female is 2: 3. Find the ratio of the no. of males and females.A4:5B9:5C5:5D9:3
Solution
Let's solve this step by step:
Step 1: Let's denote the total amount of salary distributed to all males as 6x and to all females as 5x.
Step 2: Let's denote the salary of each male as 2y and each female as 3y.
Step 3: If we denote the number of males as M and the number of females as F, we can write the total salary for males as 6x = 2y * M and for females as 5x = 3y * F.
Step 4: From these equations, we can express M as M = 6x / 2y = 3x / y and F as F = 5x / 3y.
Step 5: The ratio of the number of males to females is then M / F = (3x / y) / (5x / 3y) = 9 / 5.
So, the answer is B9:5.
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