Yoko and Jeremy received $444 in total from their father. After Yoko spent ⁴₅ of her money and Jeremy deposited ⁵₇ of his money into his savings account, Yoko had thrice as much money as Jeremy.

1. Find the amount of money Yoko received from her father.
2. If Jeremy' savings increased by 25% after the deposit, how much was Jeremy' savings in the bank in the end?

	Yoko	Jeremy	Total
Before	5x6 = 30 u	7 u	$444
Change	- 4x6 = - 24 u	- 5 u
After	1x6 = 6 u	2 u
Comparing Yoko and Jeremy in the end	3x2	1x2

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

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

The amount that Yoko had in the end is repeated.  Make the amount that Yoko had in the end the same. LM of 3 and 1 is 6.

Total amount given to Yoko and Jeremy
= 30 u + 7 u
= 37 u

37 u = 444

1 u = 444 ÷ 37 = 12

Amount that Yoko received from her father
= 30 u
= 30 x 12
= $360

(b)
Amount that Jeremy deposited
= 5 u
= 5 x 12
= $60

Savings that Jeremy had at first = 100%

Savings that Jeremy had in the end
= 100% + 25%
= 125%

25% of the savings = 60
1% of the savings = ⁶⁰₂₅
125% of the savings = 125 x ⁶⁰₂₅ = 300

Jeremy's savings in the end = $300

Answer(s): (a) $360; (b) $300