Roshel and Jenson received $472 in total from their father. After Roshel spent ⁵₆ of her money and Jenson deposited ²₅ of his money into his savings account, Roshel had thrice as much money as Jenson.

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

	Roshel	Jenson	Total
Before	6x9 = 54 u	5 u	$472
Change	- 5x9 = - 45 u	- 2 u
After	1x9 = 9 u	3 u
Comparing Roshel and Jenson in the end	3x3	1x3

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

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

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

Total amount given to Roshel and Jenson
= 54 u + 5 u
= 59 u

59 u = 472

1 u = 472 ÷ 59 = 8

Amount that Roshel received from her father
= 54 u
= 54 x 8
= $432

(b)
Amount that Jenson deposited
= 2 u
= 2 x 8
= $16

Savings that Jenson had at first = 100%

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

25% of the savings = 16
1% of the savings = ¹⁶₂₅
125% of the savings = 125 x ¹⁶₂₅ = 80

Jenson's savings in the end = $80

Answer(s): (a) $432; (b) $80