Gwen and Charlie received $108 in total from their father. After Gwen spent ⁴₅ of her money and Charlie deposited ⁵₇ of his money into his savings account, Gwen had twice as much money as Charlie.

1. Find the amount of money Gwen 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?

	Gwen	Charlie	Total
Before	5x4 = 20 u	7 u	$108
Change	- 4x4 = - 16 u	- 5 u
After	1x4 = 4 u	2 u
Comparing Gwen and Charlie in the end	2x2	1x2

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

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

The amount that Gwen had in the end is repeated.  Make the amount that Gwen had in the end the same. LM of 2 and 1 is 4.

Total amount given to Gwen and Charlie
= 20 u + 7 u
= 27 u

27 u = 108

1 u = 108 ÷ 27 = 4

Amount that Gwen received from her father
= 20 u
= 20 x 4
= $80

(b)
Amount that Charlie deposited
= 5 u
= 5 x 4
= $20

Savings that Charlie had at first = 100%

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

20% of the savings = 20
1% of the savings = ²⁰₂₀
120% of the savings = 120 x ²⁰₂₀ = 120

Charlie's savings in the end = $120

Answer(s): (a) $80; (b) $120