Hilda and Zane received $376 in total from their father. After Hilda spent ⁴₅ of her money and Zane deposited ⁵₇ of his money into his savings account, Hilda had four times as much money as Zane.

1. Find the amount of money Hilda received from her father.
2. If Zane' savings increased by 20% after the deposit, how much was Zane' savings in the bank in the end?

	Hilda	Zane	Total
Before	5x8 = 40 u	7 u	$376
Change	- 4x8 = - 32 u	- 5 u
After	1x8 = 8 u	2 u
Comparing Hilda and Zane in the end	4x2	1x2

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

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

The amount that Hilda had in the end is repeated.  Make the amount that Hilda had in the end the same. LM of 4 and 1 is 8.

Total amount given to Hilda and Zane
= 40 u + 7 u
= 47 u

47 u = 376

1 u = 376 ÷ 47 = 8

Amount that Hilda received from her father
= 40 u
= 40 x 8
= $320

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

Savings that Zane had at first = 100%

Savings that Zane had in the end
= 100% + 20%
= 120%

20% of the savings = 40
1% of the savings = ⁴⁰₂₀
120% of the savings = 120 x ⁴⁰₂₀ = 240

Zane's savings in the end = $240

Answer(s): (a) $320; (b) $240