Tammy and Xavier received $296 in total from their father. After Tammy spent ³₄ of her money and Xavier deposited ³₅ of his money into his savings account, Tammy had four times as much money as Xavier.

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

	Tammy	Xavier	Total
Before	4x8 = 32 u	5 u	$296
Change	- 3x8 = - 24 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Tammy and Xavier in the end	4x2	1x2

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

Fraction of Xavier's money left
= 1 - ³₅
= ²₅

The amount that Tammy had in the end is repeated.  Make the amount that Tammy had in the end the same. LM of 4 and 1 is 8.

Total amount given to Tammy and Xavier
= 32 u + 5 u
= 37 u

37 u = 296

1 u = 296 ÷ 37 = 8

Amount that Tammy received from her father
= 32 u
= 32 x 8
= $256

(b)
Amount that Xavier deposited
= 3 u
= 3 x 8
= $24

Savings that Xavier had at first = 100%

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

20% of the savings = 24
1% of the savings = ²⁴₂₀
120% of the savings = 120 x ²⁴₂₀ = 144

Xavier's savings in the end = $144

Answer(s): (a) $256; (b) $144