Jean and Jeremy received $856 in total from their father. After Jean spent ⁴₅ of her money and Jeremy deposited ²₇ of his money into his savings account, Jean had four times as much money as Jeremy.

1. Find the amount of money Jean 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?

	Jean	Jeremy	Total
Before	5x20 = 100 u	7 u	$856
Change	- 4x20 = - 80 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Jean and Jeremy in the end	4x5	1x5

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

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

The amount that Jean had in the end is repeated.  Make the amount that Jean had in the end the same. LM of 4 and 1 is 20.

Total amount given to Jean and Jeremy
= 100 u + 7 u
= 107 u

107 u = 856

1 u = 856 ÷ 107 = 8

Amount that Jean received from her father
= 100 u
= 100 x 8
= $800

(b)
Amount that Jeremy deposited
= 2 u
= 2 x 8
= $16

Savings that Jeremy had at first = 100%

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

25% of the savings = 16
1% of the savings = ¹⁶₂₅
125% of the savings = 125 x ¹⁶₂₅ = 80

Jeremy's savings in the end = $80

Answer(s): (a) $800; (b) $80