Sophia has $1.00 in coins. 1/5 is dimes. 2/15 are nickels. 2/3 are pennies. How many of each coin does she have?

adding up the values of the n coins,

10*x/5 + 5*2x/15 + 2x/3 = 100
x = 30

so, 6 dimes 4 nickels and 20 pennies = $1.00