Hazel and Glen received $636 in total from their father. After Hazel spent ³₄ of her money and Glen deposited ²₅ of his money into his savings account, Hazel had four times as much money as Glen.

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

	Hazel	Glen	Total
Before	4x12 = 48 u	5 u	$636
Change	- 3x12 = - 36 u	- 2 u
After	1x12 = 12 u	3 u
Comparing Hazel and Glen in the end	4x3	1x3

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

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

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

Total amount given to Hazel and Glen
= 48 u + 5 u
= 53 u

53 u = 636

1 u = 636 ÷ 53 = 12

Amount that Hazel received from her father
= 48 u
= 48 x 12
= $576

(b)
Amount that Glen deposited
= 2 u
= 2 x 12
= $24

Savings that Glen had at first = 100%

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

40% of the savings = 24
1% of the savings = ²⁴₄₀
140% of the savings = 140 x ²⁴₄₀ = 84

Glen's savings in the end = $84

Answer(s): (a) $576; (b) $84