Usha and Gabriel received $225 in total from their father. After Usha spent ²₃ of her money and Gabriel deposited ⁴₇ of his money into his savings account, Usha had twice as much money as Gabriel.

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

	Usha	Gabriel	Total
Before	3x6 = 18 u	7 u	$225
Change	- 2x6 = - 12 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Usha and Gabriel in the end	2x3	1x3

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

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

The amount that Usha had in the end is repeated.  Make the amount that Usha had in the end the same. LM of 2 and 1 is 6.

Total amount given to Usha and Gabriel
= 18 u + 7 u
= 25 u

25 u = 225

1 u = 225 ÷ 25 = 9

Amount that Usha received from her father
= 18 u
= 18 x 9
= $162

(b)
Amount that Gabriel deposited
= 4 u
= 4 x 9
= $36

Savings that Gabriel had at first = 100%

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

30% of the savings = 36
1% of the savings = ³⁶₃₀
130% of the savings = 130 x ³⁶₃₀ = 156

Gabriel's savings in the end = $156

Answer(s): (a) $162; (b) $156