Min and David received $279 in total from their father. After Min spent ⁵₆ of her money and David deposited ⁵₇ of his money into his savings account, Min had twice as much money as David.

1. Find the amount of money Min received from her father.
2. If David' savings increased by 30% after the deposit, how much was David' savings in the bank in the end?

	Min	David	Total
Before	6x4 = 24 u	7 u	$279
Change	- 5x4 = - 20 u	- 5 u
After	1x4 = 4 u	2 u
Comparing Min and David in the end	2x2	1x2

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

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

The amount that Min had in the end is repeated.  Make the amount that Min had in the end the same. LM of 2 and 1 is 4.

Total amount given to Min and David
= 24 u + 7 u
= 31 u

31 u = 279

1 u = 279 ÷ 31 = 9

Amount that Min received from her father
= 24 u
= 24 x 9
= $216

(b)
Amount that David deposited
= 5 u
= 5 x 9
= $45

Savings that David had at first = 100%

Savings that David had in the end
= 100% + 30%
= 130%

30% of the savings = 45
1% of the savings = ⁴⁵₃₀
130% of the savings = 130 x ⁴⁵₃₀ = 195

David's savings in the end = $195

Answer(s): (a) $216; (b) $195