Nora and Will received $106 in total from their father. After Nora spent ⁵₆ of her money and Will deposited ³₅ of his money into his savings account, Nora had four times as much money as Will.

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

	Nora	Will	Total
Before	6x8 = 48 u	5 u	$106
Change	- 5x8 = - 40 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Nora and Will in the end	4x2	1x2

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

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

The amount that Nora had in the end is repeated.  Make the amount that Nora had in the end the same. LM of 4 and 1 is 8.

Total amount given to Nora and Will
= 48 u + 5 u
= 53 u

53 u = 106

1 u = 106 ÷ 53 = 2

Amount that Nora received from her father
= 48 u
= 48 x 2
= $96

(b)
Amount that Will deposited
= 3 u
= 3 x 2
= $6

Savings that Will had at first = 100%

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

20% of the savings = 6
1% of the savings = ⁶₂₀
120% of the savings = 120 x ⁶₂₀ = 36

Will's savings in the end = $36

Answer(s): (a) $96; (b) $36