Roshel and Henry received $62 in total from their father. After Roshel spent ³₄ of her money and Henry deposited ⁵₇ of his money into his savings account, Roshel had thrice as much money as Henry.

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

	Roshel	Henry	Total
Before	4x6 = 24 u	7 u	$62
Change	- 3x6 = - 18 u	- 5 u
After	1x6 = 6 u	2 u
Comparing Roshel and Henry in the end	3x2	1x2

Fraction of Roshel's money left
= 1 - ³₄
= ¹₄

Fraction of Henry's money left
= 1 - ⁵₇
= ²₇

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 6.

Total amount given to Roshel and Henry
= 24 u + 7 u
= 31 u

31 u = 62

1 u = 62 ÷ 31 = 2

Amount that Roshel received from her father
= 24 u
= 24 x 2
= $48

(b)
Amount that Henry deposited
= 5 u
= 5 x 2
= $10

Savings that Henry had at first = 100%

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

25% of the savings = 10
1% of the savings = ¹⁰₂₅
125% of the savings = 125 x ¹⁰₂₅ = 50

Henry's savings in the end = $50

Answer(s): (a) $48; (b) $50