Kathy and Neave received $721 in total from their father. After Kathy spent ⁵₆ of her money and Neave deposited ³₇ of his money into his savings account, Kathy had four times as much money as Neave.

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

	Kathy	Neave	Total
Before	6x16 = 96 u	7 u	$721
Change	- 5x16 = - 80 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Kathy and Neave in the end	4x4	1x4

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

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

The amount that Kathy had in the end is repeated.  Make the amount that Kathy had in the end the same. LM of 4 and 1 is 16.

Total amount given to Kathy and Neave
= 96 u + 7 u
= 103 u

103 u = 721

1 u = 721 ÷ 103 = 7

Amount that Kathy received from her father
= 96 u
= 96 x 7
= $672

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

Savings that Neave had at first = 100%

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

25% of the savings = 21
1% of the savings = ²¹₂₅
125% of the savings = 125 x ²¹₂₅ = 105

Neave's savings in the end = $105

Answer(s): (a) $672; (b) $105