Tiffany and Rael received $473 in total from their father. After Tiffany spent ³₄ of her money and Rael deposited ⁴₇ of his money into his savings account, Tiffany had thrice as much money as Rael.

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

	Tiffany	Rael	Total
Before	4x9 = 36 u	7 u	$473
Change	- 3x9 = - 27 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Tiffany and Rael in the end	3x3	1x3

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

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

The amount that Tiffany had in the end is repeated.  Make the amount that Tiffany had in the end the same. LM of 3 and 1 is 9.

Total amount given to Tiffany and Rael
= 36 u + 7 u
= 43 u

43 u = 473

1 u = 473 ÷ 43 = 11

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

(b)
Amount that Rael deposited
= 4 u
= 4 x 11
= $44

Savings that Rael had at first = 100%

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

20% of the savings = 44
1% of the savings = ⁴⁴₂₀
120% of the savings = 120 x ⁴⁴₂₀ = 264

Rael's savings in the end = $264

Answer(s): (a) $396; (b) $264