Vanessa and Owen received $426 in total from their father. After Vanessa spent ³₄ of her money and Owen deposited ³₇ of his money into his savings account, Vanessa had four times as much money as Owen.

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

	Vanessa	Owen	Total
Before	4x16 = 64 u	7 u	$426
Change	- 3x16 = - 48 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Vanessa and Owen in the end	4x4	1x4

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

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

The amount that Vanessa had in the end is repeated.  Make the amount that Vanessa had in the end the same. LM of 4 and 1 is 16.

Total amount given to Vanessa and Owen
= 64 u + 7 u
= 71 u

71 u = 426

1 u = 426 ÷ 71 = 6

Amount that Vanessa received from her father
= 64 u
= 64 x 6
= $384

(b)
Amount that Owen deposited
= 3 u
= 3 x 6
= $18

Savings that Owen had at first = 100%

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

25% of the savings = 18
1% of the savings = ¹⁸₂₅
125% of the savings = 125 x ¹⁸₂₅ = 90

Owen's savings in the end = $90

Answer(s): (a) $384; (b) $90