Jaslyn and David received $175 in total from their father. After Jaslyn spent ⁴₅ of her money and David deposited ³₅ of his money into his savings account, Jaslyn had thrice as much money as David.

1. Find the amount of money Jaslyn received from her father.
2. If David' savings increased by 20% after the deposit, how much was David' savings in the bank in the end?

	Jaslyn	David	Total
Before	5x6 = 30 u	5 u	$175
Change	- 4x6 = - 24 u	- 3 u
After	1x6 = 6 u	2 u
Comparing Jaslyn and David in the end	3x2	1x2

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

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

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 6.

Total amount given to Jaslyn and David
= 30 u + 5 u
= 35 u

35 u = 175

1 u = 175 ÷ 35 = 5

Amount that Jaslyn received from her father
= 30 u
= 30 x 5
= $150

(b)
Amount that David deposited
= 3 u
= 3 x 5
= $15

Savings that David had at first = 100%

Savings that David had in the end
= 100% + 20%
= 120%

20% of the savings = 15
1% of the savings = ¹⁵₂₀
120% of the savings = 120 x ¹⁵₂₀ = 90

David's savings in the end = $90

Answer(s): (a) $150; (b) $90