SOLUTION: Jamie has 12 dimes and some nickles. Nick has 1/4 as many dimes and 1-1/2 times as many nickels as Jamie. If Jaime has the same amount of money as Nick, how many nickels does Nic

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Question 606852: Jamie has 12 dimes and some nickles. Nick has 1/4 as many dimes and 1-1/2 times as many nickels as Jamie. If Jaime has the same amount of money as Nick, how many nickels does Nick have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of nickels Jamie has
Nick has +%281%2F4%29%2A12+%2B+%283%2F2%29%2Ax+
given:
The amount of money Jamie has is:
+12%2A10+%2B+5x+=+120+%2B+5x+ ( in cents )
The amount of money Nick has is:
+%281%2F4%29%2A12%2A10+%2B+%283%2F2%29%2Ax%2A5+=+30+%2B+%2815%2F2%29%2Ax ( in cents )
given:
+120+%2B+5x+=+30+%2B+%2815%2F2%29%2Ax+
Multiply both sides by 2
+240+%2B+10x+=+60+%2B+15x+
+5x+=+180+
+x+=+36+
Nick has +%283%2F2%29%2A36+=+54+ nickels
check answer:
Jamie has
+12%2A10+%2B+5x+=+120+%2B+5x+
+120+%2B+5%2A36+=+120+%2B+180+
+120+%2B+180+=+300+ cents
and Nick has
+%281%2F4%29%2A12%2A10+%2B+%283%2F2%29%2Ax%2A5+=+30+%2B+%2815%2F2%29%2Ax
+30+%2B+%2815%2F2%29%2A36+=+30+%2B+270+
+30+%2B+270+=+300+
OK