Usha and Owen received $693 in total from their father. After Usha spent ⁵₆ of her money and Owen deposited ²₅ of his money into his savings account, Usha had four times as much money as Owen.

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

	Usha	Owen	Total
Before	6x12 = 72 u	5 u	$693
Change	- 5x12 = - 60 u	- 2 u
After	1x12 = 12 u	3 u
Comparing Usha and Owen in the end	4x3	1x3

Fraction of Usha's money left
= 1 - ⁵₆
= ¹₆

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

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

Total amount given to Usha and Owen
= 72 u + 5 u
= 77 u

77 u = 693

1 u = 693 ÷ 77 = 9

Amount that Usha received from her father
= 72 u
= 72 x 9
= $648

(b)
Amount that Owen deposited
= 2 u
= 2 x 9
= $18

Savings that Owen had at first = 100%

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

30% of the savings = 18
1% of the savings = ¹⁸₃₀
130% of the savings = 130 x ¹⁸₃₀ = 78

Owen's savings in the end = $78

Answer(s): (a) $648; (b) $78