document.write( "Question 175619: Bob has in his pockets a number of pennies, five times as many nickels as pennies, and 6 more quarters than pennies. The coins amount to a value of $2.52. Find The number of pennies. \n" ); document.write( "

Algebra.Com's Answer #130714 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = number of penniew
\n" ); document.write( "Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"n+=+5p\"$
\n" ); document.write( "(2) $\"q+=+p+%2B+6\"$
\n" ); document.write( "(3) $\"p+%2B+5n+%2B+25q+=+252\"$ (in terms of pennies)
\n" ); document.write( "Substituting:
\n" ); document.write( "(3) $\"p+%2B+5%2A%285p%29+%2B+25%2A%28p%2B6%29+=+252\"$
\n" ); document.write( " $\"p+%2B+25p+%2B+25p+%2B+150+=+252\"$
\n" ); document.write( " $\"51p+=+102\"$
\n" ); document.write( " $\"p+=+2\"$
\n" ); document.write( "He has 2 pennies
\n" ); document.write( "check:
\n" ); document.write( " $\"n+=+5p\"$
\n" ); document.write( " $\"n+=+10\"$
\n" ); document.write( " $\"q+=+p+%2B+6\"$
\n" ); document.write( " $\"q+=+8\"$
\n" ); document.write( "(3) $\"2+%2B+5%2A10+%2B+25%2A8+=+252\"$
\n" ); document.write( " $\"2+%2B+50+%2B+200+=+252\"$
\n" ); document.write( " $\"252+=+252\"$
\n" ); document.write( "OK \n" ); document.write( "

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