document.write( "Question 1027684: five apple pies and three ice cream sundaes cost $73. An apple pie and two ice cream sundaes cost $28.60. Find the cost of an apple pie and the cost of an ice cream sundae. \n" ); document.write( "

Algebra.Com's Answer #642921 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the cost of 1 apple pie
\n" ); document.write( "Let $\"+s+\"$ = the cost of 1 ice cream sundae
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) $\"+5a+%2B+3s+=+73+\"$
\n" ); document.write( "(2) $\"+a+%2B+2s+=+28.6+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+10s+=+143+\"$
\n" ); document.write( "(1) $\"+-5a+-+3s+=+-73+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+7s+=+70+\"$
\n" ); document.write( " $\"+s+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+5a+%2B+3%2A10+=+73+\"$
\n" ); document.write( "(1) $\"+5a+=+43+\"$
\n" ); document.write( "(1) $\"+a+=+8.6+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "An apple pie costs $8.60
\n" ); document.write( "An ice cream sundae costs $10
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+2s+=+28.6+\"$
\n" ); document.write( "(2) $\"+8.6+%2B+2%2A10+=+28.6+\"$
\n" ); document.write( "(2) $\"+28.6+=+28.6+\"$
\n" ); document.write( "You can check (1)
\n" ); document.write( "OK \n" ); document.write( "

\n" );