Dana and Vaidev received $407 in total from their father. After Dana spent ⁴₅ of her money and Vaidev deposited ⁴₇ of his money into his savings account, Dana had twice as much money as Vaidev.

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

	Dana	Vaidev	Total
Before	5x6 = 30 u	7 u	$407
Change	- 4x6 = - 24 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Dana and Vaidev in the end	2x3	1x3

Fraction of Dana's money left
= 1 - ⁴₅
= ¹₅

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

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

Total amount given to Dana and Vaidev
= 30 u + 7 u
= 37 u

37 u = 407

1 u = 407 ÷ 37 = 11

Amount that Dana received from her father
= 30 u
= 30 x 11
= $330

(b)
Amount that Vaidev deposited
= 4 u
= 4 x 11
= $44

Savings that Vaidev had at first = 100%

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

25% of the savings = 44
1% of the savings = ⁴⁴₂₅
125% of the savings = 125 x ⁴⁴₂₅ = 220

Vaidev's savings in the end = $220

Answer(s): (a) $330; (b) $220