Roshel and Neave received $440 in total from their father. After Roshel spent ³₄ of her money and Neave deposited ⁴₇ of his money into his savings account, Roshel had four times as much money as Neave.

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

	Roshel	Neave	Total
Before	4x12 = 48 u	7 u	$440
Change	- 3x12 = - 36 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Roshel and Neave in the end	4x3	1x3

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

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

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

Total amount given to Roshel and Neave
= 48 u + 7 u
= 55 u

55 u = 440

1 u = 440 ÷ 55 = 8

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

(b)
Amount that Neave deposited
= 4 u
= 4 x 8
= $32

Savings that Neave had at first = 100%

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

20% of the savings = 32
1% of the savings = ³²₂₀
120% of the savings = 120 x ³²₂₀ = 192

Neave's savings in the end = $192

Answer(s): (a) $384; (b) $192