Hazel and Perry received $184 in total from their father. After Hazel spent ³₄ of her money and Perry deposited ⁵₇ of his money into his savings account, Hazel had twice as much money as Perry.

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

	Hazel	Perry	Total
Before	4x4 = 16 u	7 u	$184
Change	- 3x4 = - 12 u	- 5 u
After	1x4 = 4 u	2 u
Comparing Hazel and Perry in the end	2x2	1x2

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

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

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

Total amount given to Hazel and Perry
= 16 u + 7 u
= 23 u

23 u = 184

1 u = 184 ÷ 23 = 8

Amount that Hazel received from her father
= 16 u
= 16 x 8
= $128

(b)
Amount that Perry deposited
= 5 u
= 5 x 8
= $40

Savings that Perry had at first = 100%

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

40% of the savings = 40
1% of the savings = ⁴⁰₄₀
140% of the savings = 140 x ⁴⁰₄₀ = 140

Perry's savings in the end = $140

Answer(s): (a) $128; (b) $140