Fanny and Justin received $124 in total from their father. After Fanny spent ²₃ of her money and Justin deposited ⁵₇ of his money into his savings account, Fanny had four times as much money as Justin.

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

	Fanny	Justin	Total
Before	3x8 = 24 u	7 u	$124
Change	- 2x8 = - 16 u	- 5 u
After	1x8 = 8 u	2 u
Comparing Fanny and Justin in the end	4x2	1x2

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

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

The amount that Fanny had in the end is repeated.  Make the amount that Fanny had in the end the same. LM of 4 and 1 is 8.

Total amount given to Fanny and Justin
= 24 u + 7 u
= 31 u

31 u = 124

1 u = 124 ÷ 31 = 4

Amount that Fanny received from her father
= 24 u
= 24 x 4
= $96

(b)
Amount that Justin deposited
= 5 u
= 5 x 4
= $20

Savings that Justin had at first = 100%

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

25% of the savings = 20
1% of the savings = ²⁰₂₅
125% of the savings = 125 x ²⁰₂₅ = 100

Justin's savings in the end = $100

Answer(s): (a) $96; (b) $100