Kathy and Ryan received $201 in total from their father. After Kathy spent ⁴₅ of her money and Ryan deposited ³₇ of his money into his savings account, Kathy had thrice as much money as Ryan.

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

	Kathy	Ryan	Total
Before	5x12 = 60 u	7 u	$201
Change	- 4x12 = - 48 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Kathy and Ryan in the end	3x4	1x4

Fraction of Kathy's money left
= 1 - ⁴₅
= ¹₅

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

The amount that Kathy had in the end is repeated.  Make the amount that Kathy had in the end the same. LM of 3 and 1 is 12.

Total amount given to Kathy and Ryan
= 60 u + 7 u
= 67 u

67 u = 201

1 u = 201 ÷ 67 = 3

Amount that Kathy received from her father
= 60 u
= 60 x 3
= $180

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

Savings that Ryan had at first = 100%

Savings that Ryan had in the end
= 100% + 20%
= 120%

20% of the savings = 9
1% of the savings = ⁹₂₀
120% of the savings = 120 x ⁹₂₀ = 54

Ryan's savings in the end = $54

Answer(s): (a) $180; (b) $54