Esther and Wesley received $104 in total from their father. After Esther spent ⁴₅ of her money and Wesley deposited ⁴₇ of his money into his savings account, Esther had thrice as much money as Wesley.

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

	Esther	Wesley	Total
Before	5x9 = 45 u	7 u	$104
Change	- 4x9 = - 36 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Esther and Wesley in the end	3x3	1x3

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

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

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

Total amount given to Esther and Wesley
= 45 u + 7 u
= 52 u

52 u = 104

1 u = 104 ÷ 52 = 2

Amount that Esther received from her father
= 45 u
= 45 x 2
= $90

(b)
Amount that Wesley deposited
= 4 u
= 4 x 2
= $8

Savings that Wesley had at first = 100%

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

20% of the savings = 8
1% of the savings = ⁸₂₀
120% of the savings = 120 x ⁸₂₀ = 48

Wesley's savings in the end = $48

Answer(s): (a) $90; (b) $48