Xandra and Justin received $38 in total from their father. After Xandra spent ²₃ of her money and Justin deposited ⁵₇ of his money into his savings account, Xandra had twice as much money as Justin.

1. Find the amount of money Xandra received from her father.
2. If Justin' savings increased by 40% after the deposit, how much was Justin' savings in the bank in the end?

	Xandra	Justin	Total
Before	3x4 = 12 u	7 u	$38
Change	- 2x4 = - 8 u	- 5 u
After	1x4 = 4 u	2 u
Comparing Xandra and Justin in the end	2x2	1x2

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

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

The amount that Xandra had in the end is repeated.  Make the amount that Xandra had in the end the same. LM of 2 and 1 is 4.

Total amount given to Xandra and Justin
= 12 u + 7 u
= 19 u

19 u = 38

1 u = 38 ÷ 19 = 2

Amount that Xandra received from her father
= 12 u
= 12 x 2
= $24

(b)
Amount that Justin deposited
= 5 u
= 5 x 2
= $10

Savings that Justin had at first = 100%

Savings that Justin had in the end
= 100% + 40%
= 140%

40% of the savings = 10
1% of the savings = ¹⁰₄₀
140% of the savings = 140 x ¹⁰₄₀ = 35

Justin's savings in the end = $35

Answer(s): (a) $24; (b) $35