Erika and Rael received $272 in total from their father. After Erika spent ²₃ of her money and Rael deposited ⁴₇ of his money into his savings account, Erika had thrice as much money as Rael.

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

	Erika	Rael	Total
Before	3x9 = 27 u	7 u	$272
Change	- 2x9 = - 18 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Erika and Rael in the end	3x3	1x3

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

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

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

Total amount given to Erika and Rael
= 27 u + 7 u
= 34 u

34 u = 272

1 u = 272 ÷ 34 = 8

Amount that Erika received from her father
= 27 u
= 27 x 8
= $216

(b)
Amount that Rael deposited
= 4 u
= 4 x 8
= $32

Savings that Rael had at first = 100%

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

40% of the savings = 32
1% of the savings = ³²₄₀
140% of the savings = 140 x ³²₄₀ = 112

Rael's savings in the end = $112

Answer(s): (a) $216; (b) $112