Esther and Xavier received $174 in total from their father. After Esther spent ³₄ of her money and Xavier deposited ²₅ of his money into his savings account, Esther had twice as much money as Xavier.

1. Find the amount of money Esther received from her father.
2. If Xavier' savings increased by 30% after the deposit, how much was Xavier' savings in the bank in the end?

	Esther	Xavier	Total
Before	4x6 = 24 u	5 u	$174
Change	- 3x6 = - 18 u	- 2 u
After	1x6 = 6 u	3 u
Comparing Esther and Xavier in the end	2x3	1x3

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

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

The amount that Esther had in the end is repeated.  Make the amount that Esther had in the end the same. LM of 2 and 1 is 6.

Total amount given to Esther and Xavier
= 24 u + 5 u
= 29 u

29 u = 174

1 u = 174 ÷ 29 = 6

Amount that Esther received from her father
= 24 u
= 24 x 6
= $144

(b)
Amount that Xavier deposited
= 2 u
= 2 x 6
= $12

Savings that Xavier had at first = 100%

Savings that Xavier had in the end
= 100% + 30%
= 130%

30% of the savings = 12
1% of the savings = ¹²₃₀
130% of the savings = 130 x ¹²₃₀ = 52

Xavier's savings in the end = $52

Answer(s): (a) $144; (b) $52