Betty and Carl received $206 in total from their father. After Betty spent ⁵₆ of her money and Carl deposited ³₇ of his money into his savings account, Betty had four times as much money as Carl.

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

	Betty	Carl	Total
Before	6x16 = 96 u	7 u	$206
Change	- 5x16 = - 80 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Betty and Carl in the end	4x4	1x4

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

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

The amount that Betty had in the end is repeated.  Make the amount that Betty had in the end the same. LM of 4 and 1 is 16.

Total amount given to Betty and Carl
= 96 u + 7 u
= 103 u

103 u = 206

1 u = 206 ÷ 103 = 2

Amount that Betty received from her father
= 96 u
= 96 x 2
= $192

(b)
Amount that Carl deposited
= 3 u
= 3 x 2
= $6

Savings that Carl had at first = 100%

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

25% of the savings = 6
1% of the savings = ⁶₂₅
125% of the savings = 125 x ⁶₂₅ = 30

Carl's savings in the end = $30

Answer(s): (a) $192; (b) $30