Winnie and Ben received $46 in total from their father. After Winnie spent ²₃ of her money and Ben deposited ³₅ of his money into his savings account, Winnie had thrice as much money as Ben.

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

	Winnie	Ben	Total
Before	3x6 = 18 u	5 u	$46
Change	- 2x6 = - 12 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Winnie and Ben in the end	3x2	1x2

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

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

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

Total amount given to Winnie and Ben
= 18 u + 5 u
= 23 u

23 u = 46

1 u = 46 ÷ 23 = 2

Amount that Winnie received from her father
= 18 u
= 18 x 2
= $36

(b)
Amount that Ben deposited
= 3 u
= 3 x 2
= $6

Savings that Ben had at first = 100%

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

30% of the savings = 6
1% of the savings = ⁶₃₀
130% of the savings = 130 x ⁶₃₀ = 26

Ben's savings in the end = $26

Answer(s): (a) $36; (b) $26