Emily and Glen received $201 in total from their father. After Emily spent ⁵₆ of her money and Glen deposited ²₇ of his money into his savings account, Emily had twice as much money as Glen.

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

	Emily	Glen	Total
Before	6x10 = 60 u	7 u	$201
Change	- 5x10 = - 50 u	- 2 u
After	1x10 = 10 u	5 u
Comparing Emily and Glen in the end	2x5	1x5

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

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

The amount that Emily had in the end is repeated.  Make the amount that Emily had in the end the same. LM of 2 and 1 is 10.

Total amount given to Emily and Glen
= 60 u + 7 u
= 67 u

67 u = 201

1 u = 201 ÷ 67 = 3

Amount that Emily received from her father
= 60 u
= 60 x 3
= $180

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

Savings that Glen had at first = 100%

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

20% of the savings = 6
1% of the savings = ⁶₂₀
120% of the savings = 120 x ⁶₂₀ = 36

Glen's savings in the end = $36

Answer(s): (a) $180; (b) $36