³₅ of Tim's savings comprised of 5-cent coins and 20-cent coins. Tim used some 5-cent coins to purchase a game card. The number of 20-cent coins left was 50% more than the number of 5-cent coins left. Given that Tim had 16 more 20-cent coins than 5-cent coins left in the end, find the amount of money Tim spent on the game card.

	5-cent coins	20-cent coins
Before	3x3 = 9 u	2x3 = 6 u
Change	- 5 u
After	2x2 = 4 u	3x2 = 6 u

Fraction of Tim's savings that comprised of 20-cent coins
= 1 - ³₅
= ²₅

Number of 20-cents coins in the end in percentage
= 100% + 50%
= 150%

150% = ¹⁵⁰₁₀₀ = ³₂

Number of 20-cent coins remains unchanged. Make the number of 20-cent coins the same.  LCM of 2 and 3 is 6.

Number of more 20-cent coins than 5-cent coins
= 6 u - 4 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Number of 5-cent coins spent on the game card 
= 9 u - 4 u
= 5 u
= 5 x 8
= 40

Amount that Tim spent on the game card 
= 40 x 0.05
= $2

Answer(s): $2