Lucy and Dylan received $473 in total from their father. After Lucy spent ²₃ of her money and Dylan deposited ³₇ of his money into his savings account, Lucy had thrice as much money as Dylan.

1. Find the amount of money Lucy received from her father.
2. If Dylan' savings increased by 20% after the deposit, how much was Dylan' savings in the bank in the end?

	Lucy	Dylan	Total
Before	3x12 = 36 u	7 u	$473
Change	- 2x12 = - 24 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Lucy and Dylan in the end	3x4	1x4

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

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

The amount that Lucy had in the end is repeated.  Make the amount that Lucy had in the end the same. LM of 3 and 1 is 12.

Total amount given to Lucy and Dylan
= 36 u + 7 u
= 43 u

43 u = 473

1 u = 473 ÷ 43 = 11

Amount that Lucy received from her father
= 36 u
= 36 x 11
= $396

(b)
Amount that Dylan deposited
= 3 u
= 3 x 11
= $33

Savings that Dylan had at first = 100%

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

20% of the savings = 33
1% of the savings = ³³₂₀
120% of the savings = 120 x ³³₂₀ = 198

Dylan's savings in the end = $198

Answer(s): (a) $396; (b) $198