Question

The ratio of shares owned by Michael and Noor is in the ratio 4:7 Michael gives Noor 3 of his shares then the ratio will be 7:15. How many shares do they each have initially?​

Answer 1

Answer:

Michael 24

Noor 42

Step-by-step explanation:

Ratio is 4:7

The initial quatity is 4x and 7x

After giving 3 shares the quatities are

4x - 3 and 7x + 3

Set equal to the new ratio

(4x - 3) / (7x + 3) = 7 / 15

Cross multiply

15(4x - 3) = 7(7x + 3)

Distribute

60x - 45 = 49x + 21

Add 45 to both sides

60x = 49x + 66

Subtract 49x from both sides

11x = 66

Divide both sides by 11

x = 6

Therefor

4x = 4*6 = 24 <–––– Michael's initial quantity

7x = 7*6 = 42 <–––– Noor's initial quantity