Winnie and Tim received $245 in total from their father. After Winnie spent ⁴₅ of her money and Tim deposited ³₅ of his money into his savings account, Winnie had thrice as much money as Tim.

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

	Winnie	Tim	Total
Before	5x6 = 30 u	5 u	$245
Change	- 4x6 = - 24 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Winnie and Tim in the end	3x2	1x2

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

Fraction of Tim'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 Tim
= 30 u + 5 u
= 35 u

35 u = 245

1 u = 245 ÷ 35 = 7

Amount that Winnie received from her father
= 30 u
= 30 x 7
= $210

(b)
Amount that Tim deposited
= 3 u
= 3 x 7
= $21

Savings that Tim had at first = 100%

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

25% of the savings = 21
1% of the savings = ²¹₂₅
125% of the savings = 125 x ²¹₂₅ = 105

Tim's savings in the end = $105

Answer(s): (a) $210; (b) $105