Opal and Cole received $477 in total from their father. After Opal spent ³₄ of her money and Cole deposited ²₅ of his money into his savings account, Opal had four times as much money as Cole.

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

	Opal	Cole	Total
Before	4x12 = 48 u	5 u	$477
Change	- 3x12 = - 36 u	- 2 u
After	1x12 = 12 u	3 u
Comparing Opal and Cole in the end	4x3	1x3

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

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

The amount that Opal had in the end is repeated.  Make the amount that Opal had in the end the same. LM of 4 and 1 is 12.

Total amount given to Opal and Cole
= 48 u + 5 u
= 53 u

53 u = 477

1 u = 477 ÷ 53 = 9

Amount that Opal received from her father
= 48 u
= 48 x 9
= $432

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

Savings that Cole had at first = 100%

Savings that Cole 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

Cole's savings in the end = $90

Answer(s): (a) $432; (b) $90