Roshel and David received $208 in total from their father. After Roshel spent ²₃ of her money and David deposited ²₇ of his money into his savings account, Roshel had thrice as much money as David.

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

	Roshel	David	Total
Before	3x15 = 45 u	7 u	$208
Change	- 2x15 = - 30 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Roshel and David in the end	3x5	1x5

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

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

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 15.

Total amount given to Roshel and David
= 45 u + 7 u
= 52 u

52 u = 208

1 u = 208 ÷ 52 = 4

Amount that Roshel received from her father
= 45 u
= 45 x 4
= $180

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

Savings that David had at first = 100%

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

25% of the savings = 8
1% of the savings = ⁸₂₅
125% of the savings = 125 x ⁸₂₅ = 40

David's savings in the end = $40

Answer(s): (a) $180; (b) $40