Shiyun and Sean received $222 in total from their father. After Shiyun spent ⁴₅ of her money and Sean deposited ⁴₇ of his money into his savings account, Shiyun had twice as much money as Sean.

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

	Shiyun	Sean	Total
Before	5x6 = 30 u	7 u	$222
Change	- 4x6 = - 24 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Shiyun and Sean in the end	2x3	1x3

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

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

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

Total amount given to Shiyun and Sean
= 30 u + 7 u
= 37 u

37 u = 222

1 u = 222 ÷ 37 = 6

Amount that Shiyun received from her father
= 30 u
= 30 x 6
= $180

(b)
Amount that Sean deposited
= 4 u
= 4 x 6
= $24

Savings that Sean had at first = 100%

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

25% of the savings = 24
1% of the savings = ²⁴₂₅
125% of the savings = 125 x ²⁴₂₅ = 120

Sean's savings in the end = $120

Answer(s): (a) $180; (b) $120