document.write( "Question 995000: A pottery studio gives two-hour and four-hour ceramics classes for $37 an hour. If the stuido has collected $3848 for a total of 41 classes, how many two-hour and how many four-hour classes where paid for? \n" ); document.write( "

Algebra.Com's Answer #613884 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of 2 hr classes
\n" ); document.write( "Let $\"+b+\"$ = number of 4 hr classes
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+2%2A37+=+74+\"$
\n" ); document.write( " $\"+4%2A37+=+148+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+41+\"$
\n" ); document.write( "(2) $\"+74a+%2B+148b+=+3848+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+41+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "------------------------
\n" ); document.write( "(2) $\"+74a+%2B+148b+=+3848+\"$
\n" ); document.write( "(1) $\"+-74a+-+74b+=+-3034+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+74b+=+814+\"$
\n" ); document.write( " $\"+b+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+11+=+41+\"$
\n" ); document.write( "(1) $\"+a+=+30+\"$
\n" ); document.write( "---------------
\n" ); document.write( "30 2 hr classes and
\n" ); document.write( "11 4 hr classes were paid for \n" ); document.write( "

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