⁵₇ of Elijah's savings comprised of 5-cent coins and 10-cent coins. Elijah used some 5-cent coins to purchase a frisbee. The number of 10-cent coins left was 50% more than the number of 5-cent coins left. Given that Elijah had 40 more 10-cent coins than 5-cent coins left in the end, find the amount of money Elijah spent on the frisbee.

	5-cent coins	10-cent coins
Before	5x3 = 15 u	2x3 = 6 u
Change	- 11 u
After	2x2 = 4 u	3x2 = 6 u

Fraction of Elijah's savings that comprised of 10-cent coins
= 1 - ⁵₇
= ²₇

Number of 10-cents coins in the end in percentage
= 100% + 50%
= 150%

150% = ¹⁵⁰₁₀₀ = ³₂

Number of 10-cent coins remains unchanged. Make the number of 10-cent coins the same.  LCM of 2 and 3 is 6.

Number of more 10-cent coins than 5-cent coins
= 6 u - 4 u
= 2 u

2 u = 40

1 u = 40 ÷ 2 = 20

Number of 5-cent coins spent on the frisbee 
= 15 u - 4 u
= 11 u
= 11 x 20
= 220

Amount that Elijah spent on the frisbee 
= 220 x 0.05
= $11

Answer(s): $11