Jaslyn and Charlie received $405 in total from their father. After Jaslyn spent ⁴₅ of her money and Charlie deposited ³₅ of his money into his savings account, Jaslyn had four times as much money as Charlie.

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

	Jaslyn	Charlie	Total
Before	5x8 = 40 u	5 u	$405
Change	- 4x8 = - 32 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Jaslyn and Charlie in the end	4x2	1x2

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

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

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

Total amount given to Jaslyn and Charlie
= 40 u + 5 u
= 45 u

45 u = 405

1 u = 405 ÷ 45 = 9

Amount that Jaslyn received from her father
= 40 u
= 40 x 9
= $360

(b)
Amount that Charlie deposited
= 3 u
= 3 x 9
= $27

Savings that Charlie had at first = 100%

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

20% of the savings = 27
1% of the savings = ²⁷₂₀
120% of the savings = 120 x ²⁷₂₀ = 162

Charlie's savings in the end = $162

Answer(s): (a) $360; (b) $162