Usha and Will received $341 in total from their father. After Usha spent ³₄ of her money and Will deposited ⁴₇ of his money into his savings account, Usha had twice as much money as Will.

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

	Usha	Will	Total
Before	4x6 = 24 u	7 u	$341
Change	- 3x6 = - 18 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Usha and Will in the end	2x3	1x3

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

Fraction of Will'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 Will
= 24 u + 7 u
= 31 u

31 u = 341

1 u = 341 ÷ 31 = 11

Amount that Usha received from her father
= 24 u
= 24 x 11
= $264

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

Savings that Will had at first = 100%

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

40% of the savings = 44
1% of the savings = ⁴⁴₄₀
140% of the savings = 140 x ⁴⁴₄₀ = 154

Will's savings in the end = $154

Answer(s): (a) $264; (b) $154