Esther and Tom received $315 in total from their father. After Esther spent ⁴₅ of her money and Tom deposited ³₅ of his money into his savings account, Esther had thrice as much money as Tom.

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

	Esther	Tom	Total
Before	5x6 = 30 u	5 u	$315
Change	- 4x6 = - 24 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Esther and Tom in the end	3x2	1x2

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

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

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

Total amount given to Esther and Tom
= 30 u + 5 u
= 35 u

35 u = 315

1 u = 315 ÷ 35 = 9

Amount that Esther received from her father
= 30 u
= 30 x 9
= $270

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

Savings that Tom had at first = 100%

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

25% of the savings = 27
1% of the savings = ²⁷₂₅
125% of the savings = 125 x ²⁷₂₅ = 135

Tom's savings in the end = $135

Answer(s): (a) $270; (b) $135