Usha and Vincent received $58 in total from their father. After Usha spent ³₄ of her money and Vincent deposited ³₅ of his money into his savings account, Usha had thrice as much money as Vincent.

1. Find the amount of money Usha received from her father.
2. If Vincent' savings increased by 40% after the deposit, how much was Vincent' savings in the bank in the end?

	Usha	Vincent	Total
Before	4x6 = 24 u	5 u	$58
Change	- 3x6 = - 18 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Usha and Vincent in the end	3x2	1x2

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

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

The amount that Usha had in the end is repeated.  Make the amount that Usha had in the end the same. LM of 3 and 1 is 6.

Total amount given to Usha and Vincent
= 24 u + 5 u
= 29 u

29 u = 58

1 u = 58 ÷ 29 = 2

Amount that Usha received from her father
= 24 u
= 24 x 2
= $48

(b)
Amount that Vincent deposited
= 3 u
= 3 x 2
= $6

Savings that Vincent had at first = 100%

Savings that Vincent had in the end
= 100% + 40%
= 140%

40% of the savings = 6
1% of the savings = ⁶₄₀
140% of the savings = 140 x ⁶₄₀ = 21

Vincent's savings in the end = $21

Answer(s): (a) $48; (b) $21