Wendy and Oliver received $369 in total from their father. After Wendy spent ⁵₆ of her money and Oliver deposited ³₅ of his money into his savings account, Wendy had thrice as much money as Oliver.

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

	Wendy	Oliver	Total
Before	6x6 = 36 u	5 u	$369
Change	- 5x6 = - 30 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Wendy and Oliver in the end	3x2	1x2

Fraction of Wendy's money left
= 1 - ⁵₆
= ¹₆

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

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

Total amount given to Wendy and Oliver
= 36 u + 5 u
= 41 u

41 u = 369

1 u = 369 ÷ 41 = 9

Amount that Wendy received from her father
= 36 u
= 36 x 9
= $324

(b)
Amount that Oliver deposited
= 3 u
= 3 x 9
= $27

Savings that Oliver had at first = 100%

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

20% of the savings = 27
1% of the savings = ²⁷₂₀
120% of the savings = 120 x ²⁷₂₀ = 162

Oliver's savings in the end = $162

Answer(s): (a) $324; (b) $162