Sarah and Simon received $125 in total from their father. After Sarah spent ²₃ of her money and Simon deposited ⁴₇ of his money into his savings account, Sarah had twice as much money as Simon.

1. Find the amount of money Sarah received from her father.
2. If Simon' savings increased by 25% after the deposit, how much was Simon' savings in the bank in the end?

	Sarah	Simon	Total
Before	3x6 = 18 u	7 u	$125
Change	- 2x6 = - 12 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Sarah and Simon in the end	2x3	1x3

Fraction of Sarah's money left
= 1 - ²₃
= ¹₃

Fraction of Simon's money left
= 1 - ⁴₇
= ³₇

The amount that Sarah had in the end is repeated.  Make the amount that Sarah had in the end the same. LM of 2 and 1 is 6.

Total amount given to Sarah and Simon
= 18 u + 7 u
= 25 u

25 u = 125

1 u = 125 ÷ 25 = 5

Amount that Sarah received from her father
= 18 u
= 18 x 5
= $90

(b)
Amount that Simon deposited
= 4 u
= 4 x 5
= $20

Savings that Simon had at first = 100%

Savings that Simon had in the end
= 100% + 25%
= 125%

25% of the savings = 20
1% of the savings = ²⁰₂₅
125% of the savings = 125 x ²⁰₂₅ = 100

Simon's savings in the end = $100

Answer(s): (a) $90; (b) $100