Nora and David received $155 in total from their father. After Nora spent ²₃ of her money and David deposited ³₇ of his money into his savings account, Nora had twice as much money as David.

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

	Nora	David	Total
Before	3x8 = 24 u	7 u	$155
Change	- 2x8 = - 16 u	- 3 u
After	1x8 = 8 u	4 u
Comparing Nora and David in the end	2x4	1x4

Fraction of Nora's money left
= 1 - ²₃
= ¹₃

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

The amount that Nora had in the end is repeated.  Make the amount that Nora had in the end the same. LM of 2 and 1 is 8.

Total amount given to Nora and David
= 24 u + 7 u
= 31 u

31 u = 155

1 u = 155 ÷ 31 = 5

Amount that Nora received from her father
= 24 u
= 24 x 5
= $120

(b)
Amount that David deposited
= 3 u
= 3 x 5
= $15

Savings that David had at first = 100%

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

25% of the savings = 15
1% of the savings = ¹⁵₂₅
125% of the savings = 125 x ¹⁵₂₅ = 75

David's savings in the end = $75

Answer(s): (a) $120; (b) $75