Jade and Dylan received $670 in total from their father. After Jade spent ⁴₅ of her money and Dylan deposited ⁴₇ of his money into his savings account, Jade had four times as much money as Dylan.

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

	Jade	Dylan	Total
Before	5x12 = 60 u	7 u	$670
Change	- 4x12 = - 48 u	- 4 u
After	1x12 = 12 u	3 u
Comparing Jade and Dylan in the end	4x3	1x3

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

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

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 12.

Total amount given to Jade and Dylan
= 60 u + 7 u
= 67 u

67 u = 670

1 u = 670 ÷ 67 = 10

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

(b)
Amount that Dylan deposited
= 4 u
= 4 x 10
= $40

Savings that Dylan had at first = 100%

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

40% of the savings = 40
1% of the savings = ⁴⁰₄₀
140% of the savings = 140 x ⁴⁰₄₀ = 140

Dylan's savings in the end = $140

Answer(s): (a) $600; (b) $140