Gabby and Fabian received $402 in total from their father. After Gabby spent ³₄ of her money and Fabian deposited ²₇ of his money into his savings account, Gabby had thrice as much money as Fabian.

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

	Gabby	Fabian	Total
Before	4x15 = 60 u	7 u	$402
Change	- 3x15 = - 45 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Gabby and Fabian in the end	3x5	1x5

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

Fraction of Fabian's money left
= 1 - ²₇
= ⁵₇

The amount that Gabby had in the end is repeated.  Make the amount that Gabby had in the end the same. LM of 3 and 1 is 15.

Total amount given to Gabby and Fabian
= 60 u + 7 u
= 67 u

67 u = 402

1 u = 402 ÷ 67 = 6

Amount that Gabby received from her father
= 60 u
= 60 x 6
= $360

(b)
Amount that Fabian deposited
= 2 u
= 2 x 6
= $12

Savings that Fabian had at first = 100%

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

30% of the savings = 12
1% of the savings = ¹²₃₀
130% of the savings = 130 x ¹²₃₀ = 52

Fabian's savings in the end = $52

Answer(s): (a) $360; (b) $52