Diana and Fabian received $100 in total from their father. After Diana spent ⁴₅ of her money and Fabian deposited ³₅ of his money into his savings account, Diana had twice as much money as Fabian.

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

	Diana	Fabian	Total
Before	5x4 = 20 u	5 u	$100
Change	- 4x4 = - 16 u	- 3 u
After	1x4 = 4 u	2 u
Comparing Diana and Fabian in the end	2x2	1x2

Fraction of Diana's money left
= 1 - ⁴₅
= ¹₅

Fraction of Fabian's money left
= 1 - ³₅
= ²₅

The amount that Diana had in the end is repeated.  Make the amount that Diana had in the end the same. LM of 2 and 1 is 4.

Total amount given to Diana and Fabian
= 20 u + 5 u
= 25 u

25 u = 100

1 u = 100 ÷ 25 = 4

Amount that Diana received from her father
= 20 u
= 20 x 4
= $80

(b)
Amount that Fabian deposited
= 3 u
= 3 x 4
= $12

Savings that Fabian had at first = 100%

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

25% of the savings = 12
1% of the savings = ¹²₂₅
125% of the savings = 125 x ¹²₂₅ = 60

Fabian's savings in the end = $60

Answer(s): (a) $80; (b) $60