Cory has a collection of nickles, dines, and quarters with a total value of $3.60. There are 6 more dimes than nickels and twice as many quarters as nickles. How many of each coin is in her collection?

1 answer

5 n + 10 d + 25 q = 360

d = n + 6

q = 2 n

substituting ... 5 n + 10(n + 6) + 25(2 n) = 360
... 5 n + 10 n + 60 + 50 n = 360

solve for n , then substitute back to find d and q

the numbers do not "work out"
... check for a typo , and proceed with correct values