Elyse and Cole received $470 in total from their father. After Elyse spent ⁴₅ of her money and Cole deposited ⁵₇ of his money into his savings account, Elyse had four times as much money as Cole.

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

	Elyse	Cole	Total
Before	5x8 = 40 u	7 u	$470
Change	- 4x8 = - 32 u	- 5 u
After	1x8 = 8 u	2 u
Comparing Elyse and Cole in the end	4x2	1x2

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

Fraction of Cole's money left
= 1 - ⁵₇
= ²₇

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

Total amount given to Elyse and Cole
= 40 u + 7 u
= 47 u

47 u = 470

1 u = 470 ÷ 47 = 10

Amount that Elyse received from her father
= 40 u
= 40 x 10
= $400

(b)
Amount that Cole deposited
= 5 u
= 5 x 10
= $50

Savings that Cole had at first = 100%

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

40% of the savings = 50
1% of the savings = ⁵⁰₄₀
140% of the savings = 140 x ⁵⁰₄₀ = 175

Cole's savings in the end = $175

Answer(s): (a) $400; (b) $175