Gabby and Caden received $273 in total from their father. After Gabby spent ³₄ of her money and Caden deposited ³₇ of his money into his savings account, Gabby had twice as much money as Caden.

1. Find the amount of money Gabby received from her father.
2. If Caden' savings increased by 35% after the deposit, how much was Caden' savings in the bank in the end?

	Gabby	Caden	Total
Before	4x8 = 32 u	7 u	$273
Change	- 3x8 = - 24 u	- 3 u
After	1x8 = 8 u	4 u
Comparing Gabby and Caden in the end	2x4	1x4

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

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

The amount that Gabby had in the end is repeated.  Make the amount that Gabby had in the end the same. LM of 2 and 1 is 8.

Total amount given to Gabby and Caden
= 32 u + 7 u
= 39 u

39 u = 273

1 u = 273 ÷ 39 = 7

Amount that Gabby received from her father
= 32 u
= 32 x 7
= $224

(b)
Amount that Caden deposited
= 3 u
= 3 x 7
= $21

Savings that Caden had at first = 100%

Savings that Caden had in the end
= 100% + 35%
= 135%

35% of the savings = 21
1% of the savings = ²¹₃₅
135% of the savings = 135 x ²¹₃₅ = 81

Caden's savings in the end = $81

Answer(s): (a) $224; (b) $81