⁵₇ of Fabian's savings comprised of 20-cent coins and 10-cent coins. Fabian used some 20-cent coins to purchase a game card. The number of 10-cent coins left was 50% more than the number of 20-cent coins left. Given that Fabian had 10 more 10-cent coins than 20-cent coins left in the end, find the amount of money Fabian spent on the game card.

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

Fraction of Fabian'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 20-cent coins
= 6 u - 4 u
= 2 u

2 u = 10

1 u = 10 ÷ 2 = 5

Number of 20-cent coins spent on the game card 
= 15 u - 4 u
= 11 u
= 11 x 5
= 55

Amount that Fabian spent on the game card 
= 55 x 0.2
= $11

Answer(s): $11