⁵₈ of Elijah's savings comprised of 5-cent coins and 20-cent coins. Elijah used some 5-cent coins to purchase a kitchen set. The number of 20-cent coins left was 25% more than the number of 5-cent coins left. Given that Elijah had 60 more 20-cent coins than 5-cent coins left in the end, find the amount of money Elijah spent on the kitchen set.

	5-cent coins	20-cent coins
Before	5x5 = 25 u	3x5 = 15 u
Change	- 13 u
After	4x3 = 12 u	5x3 = 15 u

Fraction of Elijah's savings that comprised of 20-cent coins
= 1 - ⁵₈
= ³₈

Number of 20-cents coins in the end in percentage
= 100% + 25%
= 125%

125% = ¹²⁵₁₀₀ = ⁵₄

Number of 20-cent coins remains unchanged. Make the number of 20-cent coins the same.  LCM of 3 and 5 is 15.

Number of more 20-cent coins than 5-cent coins
= 15 u - 12 u
= 3 u

3 u = 60

1 u = 60 ÷ 3 = 20

Number of 5-cent coins spent on the kitchen set 
= 25 u - 12 u
= 13 u
= 13 x 20
= 260

Amount that Elijah spent on the kitchen set 
= 260 x 0.05
= $13

Answer(s): $13