Sarah and Charlie received $220 in total from their father. After Sarah spent ³₄ of her money and Charlie deposited ⁴₇ of his money into his savings account, Sarah had four times as much money as Charlie.

1. Find the amount of money Sarah received from her father.
2. If Charlie' savings increased by 40% after the deposit, how much was Charlie' savings in the bank in the end?

	Sarah	Charlie	Total
Before	4x12 = 48 u	7 u	$220
Change	- 3x12 = - 36 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Sarah and Charlie in the end	4x3	1x3

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

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

The amount that Sarah had in the end is repeated.  Make the amount that Sarah had in the end the same. LM of 4 and 1 is 12.

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

55 u = 220

1 u = 220 ÷ 55 = 4

Amount that Sarah received from her father
= 48 u
= 48 x 4
= $192

(b)
Amount that Charlie deposited
= 4 u
= 4 x 4
= $16

Savings that Charlie had at first = 100%

Savings that Charlie had in the end
= 100% + 40%
= 140%

40% of the savings = 16
1% of the savings = ¹⁶₄₀
140% of the savings = 140 x ¹⁶₄₀ = 56

Charlie's savings in the end = $56

Answer(s): (a) $192; (b) $56