Xylia and Ahmad received $387 in total from their father. After Xylia spent ³₄ of her money and Ahmad deposited ⁴₇ of his money into his savings account, Xylia had thrice as much money as Ahmad.

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

	Xylia	Ahmad	Total
Before	4x9 = 36 u	7 u	$387
Change	- 3x9 = - 27 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Xylia and Ahmad in the end	3x3	1x3

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

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

The amount that Xylia had in the end is repeated.  Make the amount that Xylia had in the end the same. LM of 3 and 1 is 9.

Total amount given to Xylia and Ahmad
= 36 u + 7 u
= 43 u

43 u = 387

1 u = 387 ÷ 43 = 9

Amount that Xylia received from her father
= 36 u
= 36 x 9
= $324

(b)
Amount that Ahmad deposited
= 4 u
= 4 x 9
= $36

Savings that Ahmad had at first = 100%

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

20% of the savings = 36
1% of the savings = ³⁶₂₀
120% of the savings = 120 x ³⁶₂₀ = 216

Ahmad's savings in the end = $216

Answer(s): (a) $324; (b) $216