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 By: akachan04 (offline)  Monday, October 12 2015 @ 06:19 PM CDT (Read 1262 times)
akachan04

Hi

I have another question.

Bernadette had a sum of money. She gave 2/7 of her money and another \$105 to her parents. Then she gave 4/9 of the remaining money to her sister. She had 1/3 of her original amount of money left. How much did she have at first?

Newbie

Registered: 03/03/10
Posts: 8

 By: echeewh (offline)  Tuesday, October 13 2015 @ 10:19 PM CDT
echeewh

Hey <akachan04>

Following is my worked solution:

**** - for alignment purpose

Apply <Branching> method (unable to draw here) to this question.

However, this is illustrated as follows:

*********** |-- (2/7) + 105 (P)
<Total> --
*********** |-- (5/7) - 105 (R)

******************* |-- (4/9) (S)
(5/7) - 105 (R) --
******************* |-- (5/9) = (1/3)total

Apply <Work Backwards> method, we have ...

(5/9) = (1/3)total
(R) = (9/9) = (1/3) ÷ (5/9) = (3/5)total

(5/7) - 105 = (3/5)total
(5/7) = (3/5)total + 105

<Total> = (7/7) = [(3/5)total + 105] ÷ (5/7) = (21/25)total + 147

<Total> - (21/25)total = 147
(4/25)total = 147
Total = 147 ÷ (4/25) = \$918.75

======

Trust this helps.

Do let me know again if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: akachan04 (offline)  Thursday, October 15 2015 @ 11:34 AM CDT
akachan04

Hi Edward