SOLUTION: the total number of dime and nickels equals 10.50. how many of each coin does she have if the number of dimes is twice the number of nickels?

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Question 539159: the total number of dime and nickels equals 10.50. how many of each coin does she have if the number of dimes is twice the number of nickels?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
given:
+d+=+2n+
+5n+%2B+10d+=+1050+ ( in cents )
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Use substitution
+5n+%2B+10%2A%282n%29+=+1050+
+25n+=+1050+
+n+=+42+
and, since
+d+=+2n+
+d+=+84+
She has 42 nickels and 84 dimes
check:
+5%2A42+%2B+10%2A84+=+1050+
+210+%2B+840+=+1050+
+1050+=+1050+
OK