Esther and Ken received $522 in total from their father. After Esther spent ⁴₅ of her money and Ken deposited ³₇ of his money into his savings account, Esther had four times as much money as Ken.

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

	Esther	Ken	Total
Before	5x16 = 80 u	7 u	$522
Change	- 4x16 = - 64 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Esther and Ken in the end	4x4	1x4

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

Fraction of Ken's money left
= 1 - ³₇
= ⁴₇

The amount that Esther had in the end is repeated.  Make the amount that Esther had in the end the same. LM of 4 and 1 is 16.

Total amount given to Esther and Ken
= 80 u + 7 u
= 87 u

87 u = 522

1 u = 522 ÷ 87 = 6

Amount that Esther received from her father
= 80 u
= 80 x 6
= $480

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

Savings that Ken had at first = 100%

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

25% of the savings = 18
1% of the savings = ¹⁸₂₅
125% of the savings = 125 x ¹⁸₂₅ = 90

Ken's savings in the end = $90

Answer(s): (a) $480; (b) $90