document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #382276 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = number of nickels Jamie has
\n" ); document.write( "Nick has $\"+%281%2F4%29%2A12+%2B+%283%2F2%29%2Ax+\"$
\n" ); document.write( "given:
\n" ); document.write( "The amount of money Jamie has is:
\n" ); document.write( " $\"+12%2A10+%2B+5x+=+120+%2B+5x+\"$ ( in cents )
\n" ); document.write( "The amount of money Nick has is:
\n" ); document.write( " $\"+%281%2F4%29%2A12%2A10+%2B+%283%2F2%29%2Ax%2A5+=+30+%2B+%2815%2F2%29%2Ax\"$ ( in cents )
\n" ); document.write( "given:
\n" ); document.write( " $\"+120+%2B+5x+=+30+%2B+%2815%2F2%29%2Ax+\"$
\n" ); document.write( "Multiply both sides by $\"2\"$
\n" ); document.write( " $\"+240+%2B+10x+=+60+%2B+15x+\"$
\n" ); document.write( " $\"+5x+=+180+\"$
\n" ); document.write( " $\"+x+=+36+\"$
\n" ); document.write( "Nick has $\"+%283%2F2%29%2A36+=+54+\"$ nickels
\n" ); document.write( "check answer:
\n" ); document.write( "Jamie has
\n" ); document.write( " $\"+12%2A10+%2B+5x+=+120+%2B+5x+\"$
\n" ); document.write( " $\"+120+%2B+5%2A36+=+120+%2B+180+\"$
\n" ); document.write( " $\"+120+%2B+180+=+300+\"$ cents
\n" ); document.write( "and Nick has
\n" ); document.write( " $\"+%281%2F4%29%2A12%2A10+%2B+%283%2F2%29%2Ax%2A5+=+30+%2B+%2815%2F2%29%2Ax\"$
\n" ); document.write( " $\"+30+%2B+%2815%2F2%29%2A36+=+30+%2B+270+\"$
\n" ); document.write( " $\"+30+%2B+270+=+300+\"$
\n" ); document.write( "OK \n" ); document.write( "

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