Shannon and Jeremy received $270 in total from their father. After Shannon spent ⁴₅ of her money and Jeremy deposited ³₅ of his money into his savings account, Shannon had four times as much money as Jeremy.

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

	Shannon	Jeremy	Total
Before	5x8 = 40 u	5 u	$270
Change	- 4x8 = - 32 u	- 3 u
After	1x8 = 8 u	2 u
Comparing Shannon and Jeremy in the end	4x2	1x2

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

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

The amount that Shannon had in the end is repeated.  Make the amount that Shannon had in the end the same. LM of 4 and 1 is 8.

Total amount given to Shannon and Jeremy
= 40 u + 5 u
= 45 u

45 u = 270

1 u = 270 ÷ 45 = 6

Amount that Shannon received from her father
= 40 u
= 40 x 6
= $240

(b)
Amount that Jeremy deposited
= 3 u
= 3 x 6
= $18

Savings that Jeremy had at first = 100%

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

40% of the savings = 18
1% of the savings = ¹⁸₄₀
140% of the savings = 140 x ¹⁸₄₀ = 63

Jeremy's savings in the end = $63

Answer(s): (a) $240; (b) $63