Barbara and Dylan received $222 in total from their father. After Barbara spent ⁴₅ of her money and Dylan deposited ⁴₇ of his money into his savings account, Barbara had twice as much money as Dylan.

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

	Barbara	Dylan	Total
Before	5x6 = 30 u	7 u	$222
Change	- 4x6 = - 24 u	- 4 u
After	1x6 = 6 u	3 u
Comparing Barbara and Dylan in the end	2x3	1x3

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

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

The amount that Barbara had in the end is repeated.  Make the amount that Barbara had in the end the same. LM of 2 and 1 is 6.

Total amount given to Barbara and Dylan
= 30 u + 7 u
= 37 u

37 u = 222

1 u = 222 ÷ 37 = 6

Amount that Barbara received from her father
= 30 u
= 30 x 6
= $180

(b)
Amount that Dylan deposited
= 4 u
= 4 x 6
= $24

Savings that Dylan had at first = 100%

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

20% of the savings = 24
1% of the savings = ²⁴₂₀
120% of the savings = 120 x ²⁴₂₀ = 144

Dylan's savings in the end = $144

Answer(s): (a) $180; (b) $144