Linda and Michael received $440 in total from their father. After Linda spent ³₄ of her money and Michael deposited ³₇ of his money into his savings account, Linda had thrice as much money as Michael.

1. Find the amount of money Linda received from her father.
2. If Michael' savings increased by 30% after the deposit, how much was Michael' savings in the bank in the end?

	Linda	Michael	Total
Before	4x12 = 48 u	7 u	$440
Change	- 3x12 = - 36 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Linda and Michael in the end	3x4	1x4

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

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

The amount that Linda had in the end is repeated.  Make the amount that Linda had in the end the same. LM of 3 and 1 is 12.

Total amount given to Linda and Michael
= 48 u + 7 u
= 55 u

55 u = 440

1 u = 440 ÷ 55 = 8

Amount that Linda received from her father
= 48 u
= 48 x 8
= $384

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

Savings that Michael had at first = 100%

Savings that Michael had in the end
= 100% + 30%
= 130%

30% of the savings = 24
1% of the savings = ²⁴₃₀
130% of the savings = 130 x ²⁴₃₀ = 104

Michael's savings in the end = $104

Answer(s): (a) $384; (b) $104