Zara and Fred received $115 in total from their father. After Zara spent ²₃ of her money and Fred deposited ³₅ of his money into his savings account, Zara had thrice as much money as Fred.

1. Find the amount of money Zara received from her father.
2. If Fred' savings increased by 20% after the deposit, how much was Fred' savings in the bank in the end?

	Zara	Fred	Total
Before	3x6 = 18 u	5 u	$115
Change	- 2x6 = - 12 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Zara and Fred in the end	3x2	1x2

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

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

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

Total amount given to Zara and Fred
= 18 u + 5 u
= 23 u

23 u = 115

1 u = 115 ÷ 23 = 5

Amount that Zara received from her father
= 18 u
= 18 x 5
= $90

(b)
Amount that Fred deposited
= 3 u
= 3 x 5
= $15

Savings that Fred had at first = 100%

Savings that Fred had in the end
= 100% + 20%
= 120%

20% of the savings = 15
1% of the savings = ¹⁵₂₀
120% of the savings = 120 x ¹⁵₂₀ = 90

Fred's savings in the end = $90

Answer(s): (a) $90; (b) $90