Yen and Asher received $603 in total from their father. After Yen spent ⁴₅ of her money and Asher deposited ³₇ of his money into his savings account, Yen had thrice as much money as Asher.

1. Find the amount of money Yen received from her father.
2. If Asher' savings increased by 30% after the deposit, how much was Asher' savings in the bank in the end?

	Yen	Asher	Total
Before	5x12 = 60 u	7 u	$603
Change	- 4x12 = - 48 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Yen and Asher in the end	3x4	1x4

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

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

The amount that Yen had in the end is repeated.  Make the amount that Yen had in the end the same. LM of 3 and 1 is 12.

Total amount given to Yen and Asher
= 60 u + 7 u
= 67 u

67 u = 603

1 u = 603 ÷ 67 = 9

Amount that Yen received from her father
= 60 u
= 60 x 9
= $540

(b)
Amount that Asher deposited
= 3 u
= 3 x 9
= $27

Savings that Asher had at first = 100%

Savings that Asher had in the end
= 100% + 30%
= 130%

30% of the savings = 27
1% of the savings = ²⁷₃₀
130% of the savings = 130 x ²⁷₃₀ = 117

Asher's savings in the end = $117

Answer(s): (a) $540; (b) $117