⁵₉ of Sam's savings comprised of 5-cent coins and 50-cent coins. Sam used some 5-cent coins to purchase a board game. The number of 50-cent coins left was 40% more than the number of 5-cent coins left. Given that Sam had 32 more 50-cent coins than 5-cent coins left in the end, find the amount of money Sam spent on the board game.

	5-cent coins	50-cent coins
Before	5x7 = 35 u	4x7 = 28 u
Change	- 15 u
After	5x4 = 20 u	7x4 = 28 u

Fraction of Sam's savings that comprised of 50-cent coins
= 1 - ⁵₉
= ⁴₉

Number of 50-cents coins in the end in percentage
= 100% + 40%
= 140%

140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same.  LCM of 4 and 7 is 28.

Number of more 50-cent coins than 5-cent coins
= 28 u - 20 u
= 8 u

8 u = 32

1 u = 32 ÷ 8 = 4

Number of 5-cent coins spent on the board game 
= 35 u - 20 u
= 15 u
= 15 x 4
= 60

Amount that Sam spent on the board game 
= 60 x 0.05
= $3

Answer(s): $3