document.write( "Question 710390: Lou and Julia have the same number of coins. Lou has only dimes and Julia has only quarters. If Julia has $1.80 more than Lou does, how many coins does each have? \n" ); document.write( "

Algebra.Com's Answer #436985 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = number of dimes that Lou has
\n" ); document.write( "Let $\"+q+\"$ = number of quarters that Julia has
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+=+q+\"$
\n" ); document.write( "(2) $\"+25q+=+10d+%2B+180+\"$ ( in cents )
\n" ); document.write( "----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+25q+=+10q+%2B+180+\"$
\n" ); document.write( "(2) $\"+15q+=+180+\"$
\n" ); document.write( "(2) $\"+q+=+12+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+d+=+q+\"$
\n" ); document.write( "(1) $\"+d+=+12+\"$
\n" ); document.write( "Each has 12 coins
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+25%2A12+=+10%2A12+%2B+180+\"$
\n" ); document.write( "(2) $\"+300+=+120+%2B+180+\"$
\n" ); document.write( "(2) $\"+300+=+300+\"$
\n" ); document.write( "OK\r
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