SOLUTION: i have 455 cents in the piggy bank. I have 11 more dimes than nickels. how many nickels do i have?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: i have 455 cents in the piggy bank. I have 11 more dimes than nickels. how many nickels do i have?      Log On


   

Question 979891: i have 455 cents in the piggy bank. I have 11 more dimes than nickels. how many nickels do i have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+d+=+n+%2B+11+
+10d+%2B+5n+=+455+
---------------------
By substitution:
+10%2A%28+n+%2B+11+%29+%2B+5n+=+455+
+10n+%2B+110+%2B+5n+=+455+
+15n+=+345+
+n+=+23+
and
+d+=+n+%2B+11+
+d+=+23+%2B+11+
+d+=+34+
You have 23 nickels
check:
+10d+%2B+5n+=+455+
+10%2A34+%2B+5%2A23+=+455+
+340+%2B+115+=+455+
+455+=+455+
OK