Natalie and Howard received $187 in total from their father. After Natalie spent ²₃ of her money and Howard deposited ³₅ of his money into his savings account, Natalie had twice as much money as Howard.

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

	Natalie	Howard	Total
Before	3x4 = 12 u	5 u	$187
Change	- 2x4 = - 8 u	- 3 u
After	1x4 = 4 u	2 u
Comparing Natalie and Howard in the end	2x2	1x2

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

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

The amount that Natalie had in the end is repeated.  Make the amount that Natalie had in the end the same. LM of 2 and 1 is 4.

Total amount given to Natalie and Howard
= 12 u + 5 u
= 17 u

17 u = 187

1 u = 187 ÷ 17 = 11

Amount that Natalie received from her father
= 12 u
= 12 x 11
= $132

(b)
Amount that Howard deposited
= 3 u
= 3 x 11
= $33

Savings that Howard had at first = 100%

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

30% of the savings = 33
1% of the savings = ³³₃₀
130% of the savings = 130 x ³³₃₀ = 143

Howard's savings in the end = $143

Answer(s): (a) $132; (b) $143