Zara and Ahmad received $416 in total from their father. After Zara spent ²₃ of her money and Ahmad deposited ²₇ of his money into his savings account, Zara had thrice as much money as Ahmad.

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

	Zara	Ahmad	Total
Before	3x15 = 45 u	7 u	$416
Change	- 2x15 = - 30 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Zara and Ahmad in the end	3x5	1x5

Fraction of Zara's money left
= 1 - ²₃
= ¹₃

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

The amount that Zara had in the end is repeated.  Make the amount that Zara had in the end the same. LM of 3 and 1 is 15.

Total amount given to Zara and Ahmad
= 45 u + 7 u
= 52 u

52 u = 416

1 u = 416 ÷ 52 = 8

Amount that Zara received from her father
= 45 u
= 45 x 8
= $360

(b)
Amount that Ahmad deposited
= 2 u
= 2 x 8
= $16

Savings that Ahmad had at first = 100%

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

25% of the savings = 16
1% of the savings = ¹⁶₂₅
125% of the savings = 125 x ¹⁶₂₅ = 80

Ahmad's savings in the end = $80

Answer(s): (a) $360; (b) $80