Lynn and Daniel received $468 in total from their father. After Lynn spent ⁴₅ of her money and Daniel deposited ⁴₇ of his money into his savings account, Lynn had thrice as much money as Daniel.

1. Find the amount of money Lynn received from her father.
2. If Daniel' savings increased by 30% after the deposit, how much was Daniel' savings in the bank in the end?

	Lynn	Daniel	Total
Before	5x9 = 45 u	7 u	$468
Change	- 4x9 = - 36 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Lynn and Daniel in the end	3x3	1x3

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

Fraction of Daniel'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 3 and 1 is 9.

Total amount given to Lynn and Daniel
= 45 u + 7 u
= 52 u

52 u = 468

1 u = 468 ÷ 52 = 9

Amount that Lynn received from her father
= 45 u
= 45 x 9
= $405

(b)
Amount that Daniel deposited
= 4 u
= 4 x 9
= $36

Savings that Daniel had at first = 100%

Savings that Daniel had in the end
= 100% + 30%
= 130%

30% of the savings = 36
1% of the savings = ³⁶₃₀
130% of the savings = 130 x ³⁶₃₀ = 156

Daniel's savings in the end = $156

Answer(s): (a) $405; (b) $156