Tina and Ian received $495 in total from their father. After Tina spent ³₄ of her money and Ian deposited ⁴₇ of his money into his savings account, Tina had four times as much money as Ian.

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

	Tina	Ian	Total
Before	4x12 = 48 u	7 u	$495
Change	- 3x12 = - 36 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Tina and Ian in the end	4x3	1x3

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

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

The amount that Tina had in the end is repeated.  Make the amount that Tina had in the end the same. LM of 4 and 1 is 12.

Total amount given to Tina and Ian
= 48 u + 7 u
= 55 u

55 u = 495

1 u = 495 ÷ 55 = 9

Amount that Tina received from her father
= 48 u
= 48 x 9
= $432

(b)
Amount that Ian deposited
= 4 u
= 4 x 9
= $36

Savings that Ian had at first = 100%

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

20% of the savings = 36
1% of the savings = ³⁶₂₀
120% of the savings = 120 x ³⁶₂₀ = 216

Ian's savings in the end = $216

Answer(s): (a) $432; (b) $216