Xandra and Liam received $540 in total from their father. After Xandra spent ⁴₅ of her money and Liam deposited ³₅ of his money into his savings account, Xandra had four times as much money as Liam.

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

	Xandra	Liam	Total
Before	5x8 = 40 u	5 u	$540
Change	- 4x8 = - 32 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Xandra and Liam in the end	4x2	1x2

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

Fraction of Liam's money left
= 1 - ³₅
= ²₅

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

Total amount given to Xandra and Liam
= 40 u + 5 u
= 45 u

45 u = 540

1 u = 540 ÷ 45 = 12

Amount that Xandra received from her father
= 40 u
= 40 x 12
= $480

(b)
Amount that Liam deposited
= 3 u
= 3 x 12
= $36

Savings that Liam had at first = 100%

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

40% of the savings = 36
1% of the savings = ³⁶₄₀
140% of the savings = 140 x ³⁶₄₀ = 126

Liam's savings in the end = $126

Answer(s): (a) $480; (b) $126