Hilda and Harry received $114 in total from their father. After Hilda spent ²₃ of her money and Harry deposited ⁵₇ of his money into his savings account, Hilda had twice as much money as Harry.

1. Find the amount of money Hilda received from her father.
2. If Harry' savings increased by 40% after the deposit, how much was Harry' savings in the bank in the end?

	Hilda	Harry	Total
Before	3x4 = 12 u	7 u	$114
Change	- 2x4 = - 8 u	- 5 u
After	1x4 = 4 u	2 u
Comparing Hilda and Harry in the end	2x2	1x2

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

Fraction of Harry's money left
= 1 - ⁵₇
= ²₇

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

Total amount given to Hilda and Harry
= 12 u + 7 u
= 19 u

19 u = 114

1 u = 114 ÷ 19 = 6

Amount that Hilda received from her father
= 12 u
= 12 x 6
= $72

(b)
Amount that Harry deposited
= 5 u
= 5 x 6
= $30

Savings that Harry had at first = 100%

Savings that Harry had in the end
= 100% + 40%
= 140%

40% of the savings = 30
1% of the savings = ³⁰₄₀
140% of the savings = 140 x ³⁰₄₀ = 105

Harry's savings in the end = $105

Answer(s): (a) $72; (b) $105