Eva and Eric received $100 in total from their father. After Eva spent ²₃ of her money and Eric deposited ⁴₇ of his money into his savings account, Eva had twice as much money as Eric.

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

	Eva	Eric	Total
Before	3x6 = 18 u	7 u	$100
Change	- 2x6 = - 12 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Eva and Eric in the end	2x3	1x3

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

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

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

Total amount given to Eva and Eric
= 18 u + 7 u
= 25 u

25 u = 100

1 u = 100 ÷ 25 = 4

Amount that Eva received from her father
= 18 u
= 18 x 4
= $72

(b)
Amount that Eric deposited
= 4 u
= 4 x 4
= $16

Savings that Eric had at first = 100%

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

25% of the savings = 16
1% of the savings = ¹⁶₂₅
125% of the savings = 125 x ¹⁶₂₅ = 80

Eric's savings in the end = $80

Answer(s): (a) $72; (b) $80