document.write( "Question 548879: Hakeem has $2.35 in nickels and quarters. He has 23 coins altogether. How many coins of each kind does he have? \n" ); document.write( "

Algebra.Com's Answer #357279 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+q+=+23+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+235+\"$ ( in cents )
\n" ); document.write( "----------------
\n" ); document.write( "Multiply both sides of (1) by 5 and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+235+\"$
\n" ); document.write( "(1) $\"+-5n+-+5q+=+-115+\"$
\n" ); document.write( " $\"+20q+=+120+\"$
\n" ); document.write( " $\"+q+=+6+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+6+=+23+\"$
\n" ); document.write( "(1) $\"+n+=+17+\"$
\n" ); document.write( "There are 17 nickels and 6 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A17+%2B+25%2A6+=+235+\"$
\n" ); document.write( "(2) $\"+85+%2B+150+=+235+\"$
\n" ); document.write( "(2) $\"+235+=+235+\"$
\n" ); document.write( "OK \n" ); document.write( "

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