Opal and Ben received $550 in total from their father. After Opal spent ³₄ of her money and Ben deposited ³₇ of his money into his savings account, Opal had thrice as much money as Ben.

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

	Opal	Ben	Total
Before	4x12 = 48 u	7 u	$550
Change	- 3x12 = - 36 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Opal and Ben in the end	3x4	1x4

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

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

The amount that Opal had in the end is repeated.  Make the amount that Opal had in the end the same. LM of 3 and 1 is 12.

Total amount given to Opal and Ben
= 48 u + 7 u
= 55 u

55 u = 550

1 u = 550 ÷ 55 = 10

Amount that Opal received from her father
= 48 u
= 48 x 10
= $480

(b)
Amount that Ben deposited
= 3 u
= 3 x 10
= $30

Savings that Ben had at first = 100%

Savings that Ben 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

Ben's savings in the end = $150

Answer(s): (a) $480; (b) $150