⁶₇ of Archie's savings comprised of 5-cent coins and 20-cent coins. Archie used some 5-cent coins to purchase a glowstick. The number of 20-cent coins left was 40% more than the number of 5-cent coins left. Given that Archie had 40 more 20-cent coins than 5-cent coins left in the end, find the amount of money Archie spent on the glowstick.

	5-cent coins	20-cent coins
Before	6x7 = 42 u	1x7 = 7 u
Change	- 37 u
After	5x1 = 5 u	7x1 = 7 u

Fraction of Archie's savings that comprised of 20-cent coins
= 1 - ⁶₇
= ¹₇

Number of 20-cents coins in the end in percentage
= 100% + 40%
= 140%

140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of 20-cent coins remains unchanged. Make the number of 20-cent coins the same.  LCM of 1 and 7 is 7.

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

2 u = 40

1 u = 40 ÷ 2 = 20

Number of 5-cent coins spent on the glowstick 
= 42 u - 5 u
= 37 u
= 37 x 20
= 740

Amount that Archie spent on the glowstick 
= 740 x 0.05
= $37

Answer(s): $37