Hazel and Zane received $670 in total from their father. After Hazel spent ⁴₅ of her money and Zane deposited ³₇ of his money into his savings account, Hazel had thrice as much money as Zane.

1. Find the amount of money Hazel received from her father.
2. If Zane' savings increased by 25% after the deposit, how much was Zane' savings in the bank in the end?

	Hazel	Zane	Total
Before	5x12 = 60 u	7 u	$670
Change	- 4x12 = - 48 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Hazel and Zane in the end	3x4	1x4

Fraction of Hazel's money left
= 1 - ⁴₅
= ¹₅

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

The amount that Hazel had in the end is repeated.  Make the amount that Hazel had in the end the same. LM of 3 and 1 is 12.

Total amount given to Hazel and Zane
= 60 u + 7 u
= 67 u

67 u = 670

1 u = 670 ÷ 67 = 10

Amount that Hazel received from her father
= 60 u
= 60 x 10
= $600

(b)
Amount that Zane deposited
= 3 u
= 3 x 10
= $30

Savings that Zane had at first = 100%

Savings that Zane had in the end
= 100% + 25%
= 125%

25% of the savings = 30
1% of the savings = ³⁰₂₅
125% of the savings = 125 x ³⁰₂₅ = 150

Zane's savings in the end = $150

Answer(s): (a) $600; (b) $150