Sarah and Julian received $192 in total from their father. After Sarah spent ²₃ of her money and Julian deposited ²₅ of his money into his savings account, Sarah had thrice as much money as Julian.

1. Find the amount of money Sarah received from her father.
2. If Julian' savings increased by 20% after the deposit, how much was Julian' savings in the bank in the end?

	Sarah	Julian	Total
Before	3x9 = 27 u	5 u	$192
Change	- 2x9 = - 18 u	- 2 u
After	1x9 = 9 u	3 u
Comparing Sarah and Julian in the end	3x3	1x3

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

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

The amount that Sarah had in the end is repeated.  Make the amount that Sarah had in the end the same. LM of 3 and 1 is 9.

Total amount given to Sarah and Julian
= 27 u + 5 u
= 32 u

32 u = 192

1 u = 192 ÷ 32 = 6

Amount that Sarah received from her father
= 27 u
= 27 x 6
= $162

(b)
Amount that Julian deposited
= 2 u
= 2 x 6
= $12

Savings that Julian had at first = 100%

Savings that Julian had in the end
= 100% + 20%
= 120%

20% of the savings = 12
1% of the savings = ¹²₂₀
120% of the savings = 120 x ¹²₂₀ = 72

Julian's savings in the end = $72

Answer(s): (a) $162; (b) $72