Zara and Jenson received $440 in total from their father. After Zara spent ³₄ of her money and Jenson deposited ⁴₇ of his money into his savings account, Zara had four times as much money as Jenson.

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

	Zara	Jenson	Total
Before	4x12 = 48 u	7 u	$440
Change	- 3x12 = - 36 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Zara and Jenson in the end	4x3	1x3

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

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

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

Total amount given to Zara and Jenson
= 48 u + 7 u
= 55 u

55 u = 440

1 u = 440 ÷ 55 = 8

Amount that Zara received from her father
= 48 u
= 48 x 8
= $384

(b)
Amount that Jenson deposited
= 4 u
= 4 x 8
= $32

Savings that Jenson had at first = 100%

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

25% of the savings = 32
1% of the savings = ³²₂₅
125% of the savings = 125 x ³²₂₅ = 160

Jenson's savings in the end = $160

Answer(s): (a) $384; (b) $160