Amy, Betty and Carol shared $564 in a certain ratio. When each of them received another $4, the ratio of Amy's money to Betty's money to Carol's money became 9 : 4 : 5. How much money did Carol have at first?
Answers
Step-by-step explanation:
Solution :-
Given that
The sum of money shared among Amy, Betty and Carol = $ 564
The ratio of the shares of Amy, Betty and Carol after receiving $4 more = 9:4:5
Let they be $ 9X , $ 4X , $ 5X
The money of Amy after receiving $4 more
= $9X
The money of Betty after receiving $4 more
= $4X
The money of Carol after receiving $4 more
= $ 5X
The money of Amy before receiving $4
= $ ( 9X-4)
The money of Betty before receiving $4
= $ (4X-4)
The money of Carol before receiving $4
= $ (5X-4)
The sum of the shares of them = $ 564
=> (9X-4) + (4X-4) + (5X-4) = 564
=> (9X+4X+5X)+(-4-4-4) = 564
=> 18X+(-12) = 564
=> 18X = 564+12
=> 18X = 576
=> X = 576/18
=> X = 32
Therefore, X = 32
Now,
The money of Carol before $4 = $ (5X-4)
$ (5×32 - 4)
= $ (160-4)
= $ 156
Answer :-
The money of Carol at first is $ 156