Xuan and Peter received $215 in total from their father. After Xuan spent ²₃ of her money and Peter deposited ⁴₇ of his money into his savings account, Xuan had four times as much money as Peter.

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

	Xuan	Peter	Total
Before	3x12 = 36 u	7 u	$215
Change	- 2x12 = - 24 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Xuan and Peter in the end	4x3	1x3

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

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

The amount that Xuan had in the end is repeated.  Make the amount that Xuan had in the end the same. LM of 4 and 1 is 12.

Total amount given to Xuan and Peter
= 36 u + 7 u
= 43 u

43 u = 215

1 u = 215 ÷ 43 = 5

Amount that Xuan received from her father
= 36 u
= 36 x 5
= $180

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

Savings that Peter had at first = 100%

Savings that Peter 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

Peter's savings in the end = $100

Answer(s): (a) $180; (b) $100