Lynn and Charlie received $516 in total from their father. After Lynn spent ²₃ of her money and Charlie deposited ⁴₇ of his money into his savings account, Lynn had four times as much money as Charlie.

1. Find the amount of money Lynn received from her father.
2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?

	Lynn	Charlie	Total
Before	3x12 = 36 u	7 u	$516
Change	- 2x12 = - 24 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Lynn and Charlie in the end	4x3	1x3

Fraction of Lynn's money left
= 1 - ²₃
= ¹₃

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

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

Total amount given to Lynn and Charlie
= 36 u + 7 u
= 43 u

43 u = 516

1 u = 516 ÷ 43 = 12

Amount that Lynn received from her father
= 36 u
= 36 x 12
= $432

(b)
Amount that Charlie deposited
= 4 u
= 4 x 12
= $48

Savings that Charlie had at first = 100%

Savings that Charlie had in the end
= 100% + 25%
= 125%

25% of the savings = 48
1% of the savings = ⁴⁸₂₅
125% of the savings = 125 x ⁴⁸₂₅ = 240

Charlie's savings in the end = $240

Answer(s): (a) $432; (b) $240