Anna and Ethan received $873 in total from their father. After Anna spent ⁵₆ of her money and Ethan deposited ²₇ of his money into his savings account, Anna had thrice as much money as Ethan.

1. Find the amount of money Anna received from her father.
2. If Ethan' savings increased by 40% after the deposit, how much was Ethan' savings in the bank in the end?

	Anna	Ethan	Total
Before	6x15 = 90 u	7 u	$873
Change	- 5x15 = - 75 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Anna and Ethan in the end	3x5	1x5

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

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

The amount that Anna had in the end is repeated.  Make the amount that Anna had in the end the same. LM of 3 and 1 is 15.

Total amount given to Anna and Ethan
= 90 u + 7 u
= 97 u

97 u = 873

1 u = 873 ÷ 97 = 9

Amount that Anna received from her father
= 90 u
= 90 x 9
= $810

(b)
Amount that Ethan deposited
= 2 u
= 2 x 9
= $18

Savings that Ethan had at first = 100%

Savings that Ethan had in the end
= 100% + 40%
= 140%

40% of the savings = 18
1% of the savings = ¹⁸₄₀
140% of the savings = 140 x ¹⁸₄₀ = 63

Ethan's savings in the end = $63

Answer(s): (a) $810; (b) $63