Cindy and Tom received $335 in total from their father. After Cindy spent ⁵₆ of her money and Tom deposited ²₇ of his money into his savings account, Cindy had twice as much money as Tom.

1. Find the amount of money Cindy 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?

	Cindy	Tom	Total
Before	6x10 = 60 u	7 u	$335
Change	- 5x10 = - 50 u	- 2 u
After	1x10 = 10 u	5 u
Comparing Cindy and Tom in the end	2x5	1x5

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

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

The amount that Cindy had in the end is repeated.  Make the amount that Cindy had in the end the same. LM of 2 and 1 is 10.

Total amount given to Cindy and Tom
= 60 u + 7 u
= 67 u

67 u = 335

1 u = 335 ÷ 67 = 5

Amount that Cindy received from her father
= 60 u
= 60 x 5
= $300

(b)
Amount that Tom deposited
= 2 u
= 2 x 5
= $10

Savings that Tom had at first = 100%

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

25% of the savings = 10
1% of the savings = ¹⁰₂₅
125% of the savings = 125 x ¹⁰₂₅ = 50

Tom's savings in the end = $50

Answer(s): (a) $300; (b) $50