Min and Fred received $296 in total from their father. After Min spent ⁴₅ of her money and Fred deposited ⁵₇ of his money into his savings account, Min had thrice as much money as Fred.

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

	Min	Fred	Total
Before	5x6 = 30 u	7 u	$296
Change	- 4x6 = - 24 u	- 5 u
After	1x6 = 6 u	2 u
Comparing Min and Fred in the end	3x2	1x2

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

Fraction of Fred'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 3 and 1 is 6.

Total amount given to Min and Fred
= 30 u + 7 u
= 37 u

37 u = 296

1 u = 296 ÷ 37 = 8

Amount that Min received from her father
= 30 u
= 30 x 8
= $240

(b)
Amount that Fred deposited
= 5 u
= 5 x 8
= $40

Savings that Fred had at first = 100%

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

25% of the savings = 40
1% of the savings = ⁴⁰₂₅
125% of the savings = 125 x ⁴⁰₂₅ = 200

Fred's savings in the end = $200

Answer(s): (a) $240; (b) $200