Victoria and John received $889 in total from their father. After Victoria spent ⁵₆ of her money and John deposited ²₇ of his money into his savings account, Victoria had four times as much money as John.

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

	Victoria	John	Total
Before	6x20 = 120 u	7 u	$889
Change	- 5x20 = - 100 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Victoria and John in the end	4x5	1x5

Fraction of Victoria's money left
= 1 - ⁵₆
= ¹₆

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

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

Total amount given to Victoria and John
= 120 u + 7 u
= 127 u

127 u = 889

1 u = 889 ÷ 127 = 7

Amount that Victoria received from her father
= 120 u
= 120 x 7
= $840

(b)
Amount that John deposited
= 2 u
= 2 x 7
= $14

Savings that John had at first = 100%

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

20% of the savings = 14
1% of the savings = ¹⁴₂₀
120% of the savings = 120 x ¹⁴₂₀ = 84

John's savings in the end = $84

Answer(s): (a) $840; (b) $84