⁴₅ of Ken's savings comprised of 20-cent coins and 50-cent coins. Ken used some 20-cent coins to purchase a kitchen set. The number of 50-cent coins left was 40% more than the number of 20-cent coins left. Given that Ken had 40 more 50-cent coins than 20-cent coins left in the end, find the amount of money Ken spent on the kitchen set.

	20-cent coins	50-cent coins
Before	4x7 = 28 u	1x7 = 7 u
Change	- 23 u
After	5x1 = 5 u	7x1 = 7 u

Fraction of Ken's savings that comprised of 50-cent coins
= 1 - ⁴₅
= ¹₅

Number of 50-cents coins in the end in percentage
= 100% + 40%
= 140%

140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same.  LCM of 1 and 7 is 7.

Number of more 50-cent coins than 20-cent coins
= 7 u - 5 u
= 2 u

2 u = 40

1 u = 40 ÷ 2 = 20

Number of 20-cent coins spent on the kitchen set 
= 28 u - 5 u
= 23 u
= 23 x 20
= 460

Amount that Ken spent on the kitchen set 
= 460 x 0.2
= $92

Answer(s): $92