Ivory and David received $783 in total from their father. After Ivory spent ³₄ of her money and David deposited ²₇ of his money into his savings account, Ivory had four times as much money as David.

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

	Ivory	David	Total
Before	4x20 = 80 u	7 u	$783
Change	- 3x20 = - 60 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Ivory and David in the end	4x5	1x5

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

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

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 20.

Total amount given to Ivory and David
= 80 u + 7 u
= 87 u

87 u = 783

1 u = 783 ÷ 87 = 9

Amount that Ivory received from her father
= 80 u
= 80 x 9
= $720

(b)
Amount that David deposited
= 2 u
= 2 x 9
= $18

Savings that David had at first = 100%

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

25% of the savings = 18
1% of the savings = ¹⁸₂₅
125% of the savings = 125 x ¹⁸₂₅ = 90

David's savings in the end = $90

Answer(s): (a) $720; (b) $90