Question

A sum of money is divided among Jun Wei, Amirah
and Shirley in the ratio 3: 4:5. After Shirley gives
Jun Wei $30, the ratio becomes 9:10: 11. Find the
amount of money Jun Wei has now.​

Answer 1

Given :   A sum of money is divided among Jun Wei, Amirah  and Shirley in the ratio 3: 4:5. After Shirley gives  Jun Wei $30, the ratio becomes 9:10: 11.

To find   :   amount of money Jun Wei has now.​

Solution:

Let say

Jun Wei has  =  3A

Amirah  has = 4A

Shirley  has  = 5A

Total = 3A + 4A + 5A = 12A

Shirley gives  Jun Wei $30

=>  Jun Wei has  =  3A + 30

Amirah  has = 4A

Shirley  has  = 5A  - 30

ratio becomes 9:10: 11.

Jun Wei  = (9/(9 + 10 + 11)) * 12A   =  36A/10

36A/10 = 3A + 30

=> 36A = 30A + 300

=> 6A = 300

=> A  = 50

amount of money Jun Wei has now  =  3A + 30 = 3 * 50 + 30 = 180 $

amount of money Jun Wei has now  =   180 $

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