SOLUTION: Roberto saves only pennies and Masheeka saves only dimes. Together they saved 305 coins worth $11.60. How many coins has each saved?

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Question 32252: Roberto saves only pennies and Masheeka saves only dimes. Together they saved 305 coins worth $11.60. How many coins has each saved?
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
1. +R+%2B+M+=+305+solve for R
+R+=+305-M+
2. +.01R+%2B+.10M+=+11.60+
Plug the first equation into the second
+.01%28305-M%29+%2B+.10M+=+11.60+
Distribute
+3.05-.01M+%2B+.10M+=+11.60+
Combine like terms
+3.05%2B.09M+=+11.60+
subtract 3.05
+.09M+=+8.55+
Divide by .09
+M+=+95+
substitute back into the first equation
+R+=+305-95+
+R+=+210+
CHECK :
+.01R+%2B+.10M+=+11.60+
+.01%28210%29+%2B+.10%2895%29+=+11.60+
+2.10+%2B+9.50+=+11.60+
+11.60+=+11.60+
YES!!!