SOLUTION: Rory has 30 coins (all nickels and dimes). He has five times as many nickels as dimes. How much money does he have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Rory has 30 coins (all nickels and dimes). He has five times as many nickels as dimes. How much money does he have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 575898: Rory has 30 coins (all nickels and dimes). He has five times as many nickels as dimes. How much money does he have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+d+ = number of dimes
+n+ = number of nickels
given:
+d+%2B+n+=+30+
+n+=+5d+
---------
By substitution:
+d+%2B+5d+=+30+
+6d+=+30+
+d+=+5+
and, since
+d+%2B+n+=+30+
+5+%2B+n+=+30+
+n+=+25+
He has 25 nickels and 5 dimes
+25%2A5+%2B+5%2A10+=+175+ cents
+175%2F100+=+1.75+ dollars
He has $1.75