Raeann and Carl received $174 in total from their father. After Raeann spent ³₄ of her money and Carl deposited ²₇ of his money into his savings account, Raeann had four times as much money as Carl.

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

	Raeann	Carl	Total
Before	4x20 = 80 u	7 u	$174
Change	- 3x20 = - 60 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Raeann and Carl in the end	4x5	1x5

Fraction of Raeann's money left
= 1 - ³₄
= ¹₄

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

The amount that Raeann had in the end is repeated.  Make the amount that Raeann had in the end the same. LM of 4 and 1 is 20.

Total amount given to Raeann and Carl
= 80 u + 7 u
= 87 u

87 u = 174

1 u = 174 ÷ 87 = 2

Amount that Raeann received from her father
= 80 u
= 80 x 2
= $160

(b)
Amount that Carl deposited
= 2 u
= 2 x 2
= $4

Savings that Carl had at first = 100%

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

20% of the savings = 4
1% of the savings = ⁴₂₀
120% of the savings = 120 x ⁴₂₀ = 24

Carl's savings in the end = $24

Answer(s): (a) $160; (b) $24