Shannon and Valen received $87 in total from their father. After Shannon spent ²₃ of her money and Valen deposited ³₅ of his money into his savings account, Shannon had four times as much money as Valen.

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

	Shannon	Valen	Total
Before	3x8 = 24 u	5 u	$87
Change	- 2x8 = - 16 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Shannon and Valen in the end	4x2	1x2

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

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

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

Total amount given to Shannon and Valen
= 24 u + 5 u
= 29 u

29 u = 87

1 u = 87 ÷ 29 = 3

Amount that Shannon received from her father
= 24 u
= 24 x 3
= $72

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

Savings that Valen had at first = 100%

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

25% of the savings = 9
1% of the savings = ⁹₂₅
125% of the savings = 125 x ⁹₂₅ = 45

Valen's savings in the end = $45

Answer(s): (a) $72; (b) $45