SOLUTION: i have an equal number of nickels and quarters, and no other coins. their total value is $2.10 i have______ coins

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Question 945408: i have an equal number of nickels and quarters, and no other coins. their total value is $2.10 i have______ coins

Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

i have an equal number of nickels 0.05x and quarters 0.25x,
their total value is $2.10:
0.05x%2B0.25x=2.10
0.30x=2.10
30x=210
x=210%2F30
x=7..number of nickels and same number of quarters
i have__14__ coins
check:
nickels 0.05x=0.05%2A7=0.35 and quarters 0.25x=0.25%2A7=1.75
0.35%2B1.75=2.10

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of nickels
Let +x+ = number of quarters
-------------------------------
+5x+%2B+25x+=+210+ ( in cents )
+30x+=+210+
+x+=+7+
+2x+=+14+
You have 14 coins
-----------------
check:
+5%2A7+%2B+25%2A7+=+210+
+35+%2B+175+=+210+
+210+=+210+
OK