Abi and Michael received $369 in total from their father. After Abi spent ⁵₆ of her money and Michael deposited ³₅ of his money into his savings account, Abi had thrice as much money as Michael.

1. Find the amount of money Abi received from her father.
2. If Michael' savings increased by 25% after the deposit, how much was Michael' savings in the bank in the end?

	Abi	Michael	Total
Before	6x6 = 36 u	5 u	$369
Change	- 5x6 = - 30 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Abi and Michael in the end	3x2	1x2

Fraction of Abi's money left
= 1 - ⁵₆
= ¹₆

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

The amount that Abi had in the end is repeated.  Make the amount that Abi had in the end the same. LM of 3 and 1 is 6.

Total amount given to Abi and Michael
= 36 u + 5 u
= 41 u

41 u = 369

1 u = 369 ÷ 41 = 9

Amount that Abi received from her father
= 36 u
= 36 x 9
= $324

(b)
Amount that Michael deposited
= 3 u
= 3 x 9
= $27

Savings that Michael had at first = 100%

Savings that Michael had in the end
= 100% + 25%
= 125%

25% of the savings = 27
1% of the savings = ²⁷₂₅
125% of the savings = 125 x ²⁷₂₅ = 135

Michael's savings in the end = $135

Answer(s): (a) $324; (b) $135