Ivory and Paul received $234 in total from their father. After Ivory spent ³₄ of her money and Paul deposited ⁵₇ of his money into his savings account, Ivory had four times as much money as Paul.

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

	Ivory	Paul	Total
Before	4x8 = 32 u	7 u	$234
Change	- 3x8 = - 24 u	- 5 u
After	1x8 = 8 u	2 u
Comparing Ivory and Paul in the end	4x2	1x2

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

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

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

Total amount given to Ivory and Paul
= 32 u + 7 u
= 39 u

39 u = 234

1 u = 234 ÷ 39 = 6

Amount that Ivory received from her father
= 32 u
= 32 x 6
= $192

(b)
Amount that Paul deposited
= 5 u
= 5 x 6
= $30

Savings that Paul had at first = 100%

Savings that Paul had in the end
= 100% + 25%
= 125%

25% of the savings = 30
1% of the savings = ³⁰₂₅
125% of the savings = 125 x ³⁰₂₅ = 150

Paul's savings in the end = $150

Answer(s): (a) $192; (b) $150