Esther and Charlie received $440 in total from their father. After Esther spent ⁵₆ of her money and Charlie deposited ³₇ of his money into his savings account, Esther had twice as much money as Charlie.

1. Find the amount of money Esther 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?

	Esther	Charlie	Total
Before	6x8 = 48 u	7 u	$440
Change	- 5x8 = - 40 u	- 3 u
After	1x8 = 8 u	4 u
Comparing Esther and Charlie in the end	2x4	1x4

Fraction of Esther's money left
= 1 - ⁵₆
= ¹₆

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

The amount that Esther had in the end is repeated.  Make the amount that Esther had in the end the same. LM of 2 and 1 is 8.

Total amount given to Esther and Charlie
= 48 u + 7 u
= 55 u

55 u = 440

1 u = 440 ÷ 55 = 8

Amount that Esther received from her father
= 48 u
= 48 x 8
= $384

(b)
Amount that Charlie deposited
= 3 u
= 3 x 8
= $24

Savings that Charlie had at first = 100%

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

20% of the savings = 24
1% of the savings = ²⁴₂₀
120% of the savings = 120 x ²⁴₂₀ = 144

Charlie's savings in the end = $144

Answer(s): (a) $384; (b) $144