Usha and Charlie received $642 in total from their father. After Usha spent ⁴₅ of her money and Charlie deposited ²₇ of his money into his savings account, Usha had four times as much money as Charlie.

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

	Usha	Charlie	Total
Before	5x20 = 100 u	7 u	$642
Change	- 4x20 = - 80 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Usha and Charlie in the end	4x5	1x5

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

Fraction of Charlie's money left
= 1 - ²₇
= ⁵₇

The amount that Usha had in the end is repeated.  Make the amount that Usha had in the end the same. LM of 4 and 1 is 20.

Total amount given to Usha and Charlie
= 100 u + 7 u
= 107 u

107 u = 642

1 u = 642 ÷ 107 = 6

Amount that Usha received from her father
= 100 u
= 100 x 6
= $600

(b)
Amount that Charlie deposited
= 2 u
= 2 x 6
= $12

Savings that Charlie had at first = 100%

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

40% of the savings = 12
1% of the savings = ¹²₄₀
140% of the savings = 140 x ¹²₄₀ = 42

Charlie's savings in the end = $42

Answer(s): (a) $600; (b) $42