Shiyun and Albert received $516 in total from their father. After Shiyun spent ⁵₆ of her money and Albert deposited ⁴₇ of his money into his savings account, Shiyun had twice as much money as Albert.

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

	Shiyun	Albert	Total
Before	6x6 = 36 u	7 u	$516
Change	- 5x6 = - 30 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Shiyun and Albert in the end	2x3	1x3

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

Fraction of Albert's money left
= 1 - ⁴₇
= ³₇

The amount that Shiyun had in the end is repeated.  Make the amount that Shiyun had in the end the same. LM of 2 and 1 is 6.

Total amount given to Shiyun and Albert
= 36 u + 7 u
= 43 u

43 u = 516

1 u = 516 ÷ 43 = 12

Amount that Shiyun received from her father
= 36 u
= 36 x 12
= $432

(b)
Amount that Albert deposited
= 4 u
= 4 x 12
= $48

Savings that Albert had at first = 100%

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

20% of the savings = 48
1% of the savings = ⁴⁸₂₀
120% of the savings = 120 x ⁴⁸₂₀ = 288

Albert's savings in the end = $288

Answer(s): (a) $432; (b) $288