document.write( "Question 1137966: Marysia has saved $48.75 in nickels and loonies. If she has 3 nickels fewer than three dash eighths the number of loonies, how many coins of each type does Marysia have? \n" ); document.write( "

Algebra.Com's Answer #755843 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = the number of nickels
\n" ); document.write( "Let $\"+k+\"$ = the number of loonies
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\n" ); document.write( "(1) $\"+n+=+%283%2F8%29%2Ak+-+3+\"$
\n" ); document.write( "The value of a loonie is:
\n" ); document.write( " $\"+48.75+-+5n+\"$
\n" ); document.write( "(2) $\"+k%2A%28+48.75+-+5n+%29+\"$ is the value of $\"+k+\"$ loonies
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\n" ); document.write( "(1) $\"+%283%2F8%29%2Ak+=+n+%2B+3+\"$
\n" ); document.write( "(1) $\"+k+=+%288%2F3%29%2A%28+n+%2B+3+%29+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+%288%2F3%29%2A%28+n+%2B+3+%29+%2A%28+48.75+-+5n+%29+\"$ is the value of $\"+k+\"$ loonies
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\n" ); document.write( " $\"+5n+%2B+%288%2F3%29%2A%28+n+%2B+3+%29+%2A%28+48.75+-+5n+%29+=+48.75+\"$
\n" ); document.write( " $\"+15n+%2B+8%2A%28+n+%2B+3+%29%2A%28+48.75+-+5n+%29+=+3%2A48.75+\"$
\n" ); document.write( " $\"+15n+%2B+%28+8n+%2B+24+%29%2A%28+48.75+-+5n+%29+=+146.25+\"$
\n" ); document.write( " $\"+15n+%2B+390n+%2B+1170+-+40n%5E2+=+146.25+\"$
\n" ); document.write( " $\"+40n%5E2+-+405n+-+1023.75+=+0+\"$
\n" ); document.write( "Solve with quadratic formula to find number of nickels
\n" ); document.write( "Then find number of loonies
\n" ); document.write( "There could be an easier way to do this. Get a 2nd opinion
\n" ); document.write( "and check my math.
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