Wendy and Seth received $902 in total from their father. After Wendy spent ⁴₅ of her money and Seth deposited ²₇ of his money into his savings account, Wendy had thrice as much money as Seth.

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

	Wendy	Seth	Total
Before	5x15 = 75 u	7 u	$902
Change	- 4x15 = - 60 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Wendy and Seth in the end	3x5	1x5

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

Fraction of Seth's money left
= 1 - ²₇
= ⁵₇

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 15.

Total amount given to Wendy and Seth
= 75 u + 7 u
= 82 u

82 u = 902

1 u = 902 ÷ 82 = 11

Amount that Wendy received from her father
= 75 u
= 75 x 11
= $825

(b)
Amount that Seth deposited
= 2 u
= 2 x 11
= $22

Savings that Seth had at first = 100%

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

20% of the savings = 22
1% of the savings = ²²₂₀
120% of the savings = 120 x ²²₂₀ = 132

Seth's savings in the end = $132

Answer(s): (a) $825; (b) $132