Jaslyn and Jack received $670 in total from their father. After Jaslyn spent ⁴₅ of her money and Jack deposited ³₇ of his money into his savings account, Jaslyn had thrice as much money as Jack.

1. Find the amount of money Jaslyn received from her father.
2. If Jack' savings increased by 40% after the deposit, how much was Jack' savings in the bank in the end?

	Jaslyn	Jack	Total
Before	5x12 = 60 u	7 u	$670
Change	- 4x12 = - 48 u	- 3 u
After	1x12 = 12 u	4 u
Comparing Jaslyn and Jack in the end	3x4	1x4

Fraction of Jaslyn's money left
= 1 - ⁴₅
= ¹₅

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

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

Total amount given to Jaslyn and Jack
= 60 u + 7 u
= 67 u

67 u = 670

1 u = 670 ÷ 67 = 10

Amount that Jaslyn received from her father
= 60 u
= 60 x 10
= $600

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

Savings that Jack had at first = 100%

Savings that Jack had in the end
= 100% + 40%
= 140%

40% of the savings = 30
1% of the savings = ³⁰₄₀
140% of the savings = 140 x ³⁰₄₀ = 105

Jack's savings in the end = $105

Answer(s): (a) $600; (b) $105