Marion and Xavier received $670 in total from their father. After Marion spent ³₄ of her money and Xavier deposited ²₇ of his money into his savings account, Marion had thrice as much money as Xavier.

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

	Marion	Xavier	Total
Before	4x15 = 60 u	7 u	$670
Change	- 3x15 = - 45 u	- 2 u
After	1x15 = 15 u	5 u
Comparing Marion and Xavier in the end	3x5	1x5

Fraction of Marion's money left
= 1 - ³₄
= ¹₄

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

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

Total amount given to Marion and Xavier
= 60 u + 7 u
= 67 u

67 u = 670

1 u = 670 ÷ 67 = 10

Amount that Marion received from her father
= 60 u
= 60 x 10
= $600

(b)
Amount that Xavier deposited
= 2 u
= 2 x 10
= $20

Savings that Xavier had at first = 100%

Savings that Xavier 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

Xavier's savings in the end = $100

Answer(s): (a) $600; (b) $100