Penelope and Henry received $172 in total from their father. After Penelope spent ²₃ of her money and Henry deposited ⁴₇ of his money into his savings account, Penelope had four times as much money as Henry.

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

	Penelope	Henry	Total
Before	3x12 = 36 u	7 u	$172
Change	- 2x12 = - 24 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Penelope and Henry in the end	4x3	1x3

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

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

The amount that Penelope had in the end is repeated.  Make the amount that Penelope had in the end the same. LM of 4 and 1 is 12.

Total amount given to Penelope and Henry
= 36 u + 7 u
= 43 u

43 u = 172

1 u = 172 ÷ 43 = 4

Amount that Penelope received from her father
= 36 u
= 36 x 4
= $144

(b)
Amount that Henry deposited
= 4 u
= 4 x 4
= $16

Savings that Henry had at first = 100%

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

40% of the savings = 16
1% of the savings = ¹⁶₄₀
140% of the savings = 140 x ¹⁶₄₀ = 56

Henry's savings in the end = $56

Answer(s): (a) $144; (b) $56