Risa and Riordan received $116 in total from their father. After Risa spent ²₃ of her money and Riordan deposited ³₅ of his money into his savings account, Risa had four times as much money as Riordan.

1. Find the amount of money Risa received from her father.
2. If Riordan' savings increased by 40% after the deposit, how much was Riordan' savings in the bank in the end?

	Risa	Riordan	Total
Before	3x8 = 24 u	5 u	$116
Change	- 2x8 = - 16 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Risa and Riordan in the end	4x2	1x2

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

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

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

Total amount given to Risa and Riordan
= 24 u + 5 u
= 29 u

29 u = 116

1 u = 116 ÷ 29 = 4

Amount that Risa received from her father
= 24 u
= 24 x 4
= $96

(b)
Amount that Riordan deposited
= 3 u
= 3 x 4
= $12

Savings that Riordan had at first = 100%

Savings that Riordan had in the end
= 100% + 40%
= 140%

40% of the savings = 12
1% of the savings = ¹²₄₀
140% of the savings = 140 x ¹²₄₀ = 42

Riordan's savings in the end = $42

Answer(s): (a) $96; (b) $42