Joelle and Ethan received $201 in total from their father. After Joelle spent ³₄ of her money and Ethan deposited ²₇ of his money into his savings account, Joelle had thrice as much money as Ethan.

1. Find the amount of money Joelle received from her father.
2. If Ethan' savings increased by 30% after the deposit, how much was Ethan' savings in the bank in the end?

	Joelle	Ethan	Total
Before	4x15 = 60 u	7 u	$201
Change	- 3x15 = - 45 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Joelle and Ethan in the end	3x5	1x5

Fraction of Joelle's money left
= 1 - ³₄
= ¹₄

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

The amount that Joelle had in the end is repeated.  Make the amount that Joelle had in the end the same. LM of 3 and 1 is 15.

Total amount given to Joelle and Ethan
= 60 u + 7 u
= 67 u

67 u = 201

1 u = 201 ÷ 67 = 3

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

(b)
Amount that Ethan deposited
= 2 u
= 2 x 3
= $6

Savings that Ethan had at first = 100%

Savings that Ethan had in the end
= 100% + 30%
= 130%

30% of the savings = 6
1% of the savings = ⁶₃₀
130% of the savings = 130 x ⁶₃₀ = 26

Ethan's savings in the end = $26

Answer(s): (a) $180; (b) $26