Nicole and Reggie received $159 in total from their father. After Nicole spent ⁵₆ of her money and Reggie deposited ³₅ of his money into his savings account, Nicole had four times as much money as Reggie.

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

	Nicole	Reggie	Total
Before	6x8 = 48 u	5 u	$159
Change	- 5x8 = - 40 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Nicole and Reggie in the end	4x2	1x2

Fraction of Nicole's money left
= 1 - ⁵₆
= ¹₆

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

The amount that Nicole had in the end is repeated.  Make the amount that Nicole had in the end the same. LM of 4 and 1 is 8.

Total amount given to Nicole and Reggie
= 48 u + 5 u
= 53 u

53 u = 159

1 u = 159 ÷ 53 = 3

Amount that Nicole received from her father
= 48 u
= 48 x 3
= $144

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

Savings that Reggie had at first = 100%

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

20% of the savings = 9
1% of the savings = ⁹₂₀
120% of the savings = 120 x ⁹₂₀ = 54

Reggie's savings in the end = $54

Answer(s): (a) $144; (b) $54