Raeann and Vincent received $68 in total from their father. After Raeann spent ²₃ of her money and Vincent deposited ⁴₇ of his money into his savings account, Raeann had thrice as much money as Vincent.

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

	Raeann	Vincent	Total
Before	3x9 = 27 u	7 u	$68
Change	- 2x9 = - 18 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Raeann and Vincent in the end	3x3	1x3

Fraction of Raeann's money left
= 1 - ²₃
= ¹₃

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

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

Total amount given to Raeann and Vincent
= 27 u + 7 u
= 34 u

34 u = 68

1 u = 68 ÷ 34 = 2

Amount that Raeann received from her father
= 27 u
= 27 x 2
= $54

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

Savings that Vincent had at first = 100%

Savings that Vincent 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

Vincent's savings in the end = $48

Answer(s): (a) $54; (b) $48