Gabby and Gabriel received $104 in total from their father. After Gabby spent ⁴₅ of her money and Gabriel deposited ⁴₇ of his money into his savings account, Gabby had thrice as much money as Gabriel.

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

	Gabby	Gabriel	Total
Before	5x9 = 45 u	7 u	$104
Change	- 4x9 = - 36 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Gabby and Gabriel in the end	3x3	1x3

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

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

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 9.

Total amount given to Gabby and Gabriel
= 45 u + 7 u
= 52 u

52 u = 104

1 u = 104 ÷ 52 = 2

Amount that Gabby received from her father
= 45 u
= 45 x 2
= $90

(b)
Amount that Gabriel deposited
= 4 u
= 4 x 2
= $8

Savings that Gabriel had at first = 100%

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

40% of the savings = 8
1% of the savings = ⁸₄₀
140% of the savings = 140 x ⁸₄₀ = 28

Gabriel's savings in the end = $28

Answer(s): (a) $90; (b) $28