Xandra and Vaidev received $288 in total from their father. After Xandra spent ²₃ of her money and Vaidev deposited ²₅ of his money into his savings account, Xandra had thrice as much money as Vaidev.

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

	Xandra	Vaidev	Total
Before	3x9 = 27 u	5 u	$288
Change	- 2x9 = - 18 u	- 2 u
After	1x9 = 9 u	3 u
Comparing Xandra and Vaidev in the end	3x3	1x3

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

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

The amount that Xandra had in the end is repeated.  Make the amount that Xandra had in the end the same. LM of 3 and 1 is 9.

Total amount given to Xandra and Vaidev
= 27 u + 5 u
= 32 u

32 u = 288

1 u = 288 ÷ 32 = 9

Amount that Xandra received from her father
= 27 u
= 27 x 9
= $243

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

Savings that Vaidev had at first = 100%

Savings that Vaidev 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

Vaidev's savings in the end = $78

Answer(s): (a) $243; (b) $78