Gillian and Ivan received $174 in total from their father. After Gillian spent ³₄ of her money and Ivan deposited ²₅ of his money into his savings account, Gillian had twice as much money as Ivan.

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

	Gillian	Ivan	Total
Before	4x6 = 24 u	5 u	$174
Change	- 3x6 = - 18 u	- 2 u
After	1x6 = 6 u	3 u
Comparing Gillian and Ivan in the end	2x3	1x3

Fraction of Gillian's money left
= 1 - ³₄
= ¹₄

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

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

Total amount given to Gillian and Ivan
= 24 u + 5 u
= 29 u

29 u = 174

1 u = 174 ÷ 29 = 6

Amount that Gillian received from her father
= 24 u
= 24 x 6
= $144

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

Savings that Ivan had at first = 100%

Savings that Ivan 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

Ivan's savings in the end = $72

Answer(s): (a) $144; (b) $72