let 10 cent coins =x
20 cent coins = y
total number of coins = x+y =34
x=34-y....................(1)
value of coins = $5.40
10x+20y=540
10(34-y) +20y =540
340 - 10y +20y =540
10y=540-340
10y=200
y=20
x=34-y =34-20=14
10 cent coins =x=14 coins
20 cent coins = y = 20 coins
