Eva and Fred received $75 in total from their father. After Eva spent ⁴₅ of her money and Fred deposited ³₅ of his money into his savings account, Eva had twice as much money as Fred.

1. Find the amount of money Eva received from her father.
2. If Fred' savings increased by 30% after the deposit, how much was Fred' savings in the bank in the end?

	Eva	Fred	Total
Before	5x4 = 20 u	5 u	$75
Change	- 4x4 = - 16 u	- 3 u
After	1x4 = 4 u	2 u
Comparing Eva and Fred in the end	2x2	1x2

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

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

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 4.

Total amount given to Eva and Fred
= 20 u + 5 u
= 25 u

25 u = 75

1 u = 75 ÷ 25 = 3

Amount that Eva received from her father
= 20 u
= 20 x 3
= $60

(b)
Amount that Fred deposited
= 3 u
= 3 x 3
= $9

Savings that Fred had at first = 100%

Savings that Fred had in the end
= 100% + 30%
= 130%

30% of the savings = 9
1% of the savings = ⁹₃₀
130% of the savings = 130 x ⁹₃₀ = 39

Fred's savings in the end = $39

Answer(s): (a) $60; (b) $39