document.write( "Question 775271: Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $93.56 on the gifts. How many videos and how many CDs did she buy? \n" ); document.write( "

Algebra.Com's Answer #472729 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+v+\"$ = number of video's she bought
\n" ); document.write( "Let $\"+c+\"$ = number of CD's she bought
\n" ); document.write( "-------------
\n" ); document.write( "(1) $\"+v+%2B+c+=+6+\"$
\n" ); document.write( "(2) $\"+14.95v+%2B+16.88c+=+93.56+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) $\"+1495v+%2B+1688c+=+9356+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+1495+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+1495v+%2B+1688c+=+9356+\"$
\n" ); document.write( "(1) $\"+-1495v+-+1495c+=+-8970+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+193c+=+386+\"$
\n" ); document.write( " $\"+c+=+2+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+v+%2B+c+=+6+\"$
\n" ); document.write( "(1) $\"+v+=+6+-+2+\"$
\n" ); document.write( "(1) $\"+v+=+4+\"$
\n" ); document.write( "4 = number of video's she bought
\n" ); document.write( "2 = number of CD's she bought
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+14.95%2A4+%2B+16.88%2A2+=+93.56+\"$
\n" ); document.write( "(2) $\"+59.8+%2B+33.76+=+93.56+\"$
\n" ); document.write( "(2) $\"+93.56+=+93.56+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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