William had some coins. 40% of his coins were made up of 50-cent coins which was equal to the number of $1 coins. The rest of the coins were made up of 20-cent coins. Given that William had $16 more 50-cent coins than 20-cent coins, how many coins did William have altogether

ratio of

50 cent coin : dollar coin : 20 cent coin = 4:4:2 = 2 : 2 : 1
so...
number of 50 cent coins --- 2x
number of dollar coins --- 2x
numbr of 20 cent coins = x

value of 50 cent coins = 50(2x) = 100x cents
value of 20 cent coins = 20(x) = 20x cents

100x - 20x = 1600
x = 20

50 cent coins ---- 40
dollar coins ----- 40
20 cent coins ---- 20

state your conclusion.