Jade and Paul received $568 in total from their father. After Jade spent ³₄ of her money and Paul deposited ³₇ of his money into his savings account, Jade had four times as much money as Paul.

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

	Jade	Paul	Total
Before	4x16 = 64 u	7 u	$568
Change	- 3x16 = - 48 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Jade and Paul in the end	4x4	1x4

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

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

The amount that Jade had in the end is repeated.  Make the amount that Jade had in the end the same. LM of 4 and 1 is 16.

Total amount given to Jade and Paul
= 64 u + 7 u
= 71 u

71 u = 568

1 u = 568 ÷ 71 = 8

Amount that Jade received from her father
= 64 u
= 64 x 8
= $512

(b)
Amount that Paul deposited
= 3 u
= 3 x 8
= $24

Savings that Paul had at first = 100%

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

30% of the savings = 24
1% of the savings = ²⁴₃₀
130% of the savings = 130 x ²⁴₃₀ = 104

Paul's savings in the end = $104

Answer(s): (a) $512; (b) $104