SOLUTION: I paid my bill using dimes only. If i had paid using only quarters, I would have needed 18 fewer coins. Jow much was my bill?

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Question 857917: I paid my bill using dimes only. If i had paid using only quarters, I would have needed 18 fewer coins. Jow much was my bill?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = number of dimes needed
Let +q+ = number of quarters if they were used
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The bill is: +10d+
+q+=+d+-+18+
The bill is also:
+25q+
and, by substitution:
+25%2A%28+d+-+18+%29+
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I can say:
+10d+=+25%2A%28+d+-+18+%29+
+10d+=+25d+-+450+
+15d+=+450+
+d+=+30+
and
+q+=+d+-+18+
+q+=+30+-+18+
+q+=+12+
----------------
The bill is:
+10d+=+10%2A30+=+300+
This is +300+ cents or $3.00
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Or, if quarters were used:
+25q+=+25%2A12+
+25q+=+300+ or $3.00
OK