Mary and Zane received $92 in total from their father. After Mary spent ²₃ of her money and Zane deposited ³₅ of his money into his savings account, Mary had thrice as much money as Zane.

1. Find the amount of money Mary received from her father.
2. If Zane' savings increased by 30% after the deposit, how much was Zane' savings in the bank in the end?

	Mary	Zane	Total
Before	3x6 = 18 u	5 u	$92
Change	- 2x6 = - 12 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Mary and Zane in the end	3x2	1x2

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

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

The amount that Mary had in the end is repeated.  Make the amount that Mary had in the end the same. LM of 3 and 1 is 6.

Total amount given to Mary and Zane
= 18 u + 5 u
= 23 u

23 u = 92

1 u = 92 ÷ 23 = 4

Amount that Mary received from her father
= 18 u
= 18 x 4
= $72

(b)
Amount that Zane deposited
= 3 u
= 3 x 4
= $12

Savings that Zane had at first = 100%

Savings that Zane had in the end
= 100% + 30%
= 130%

30% of the savings = 12
1% of the savings = ¹²₃₀
130% of the savings = 130 x ¹²₃₀ = 52

Zane's savings in the end = $52

Answer(s): (a) $72; (b) $52