document.write( "Question 198128: three apples and five grapes cost $1.70; five apples and three grapes cost $2.46. What is the cost of one grape? \n" ); document.write( "

Algebra.Com's Answer #148590 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = the cost of 1 apple
\n" ); document.write( "Let $\"g\"$ = the cost of 1 grape
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"3a+%2B+5g+=+170\"$ (in cents)
\n" ); document.write( "(2) $\"5a+%2B+3g+=+246\"$ (in cents)
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "Multiply both sides of (2) by $\"3\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"15a+%2B+25g+=+850\"$
\n" ); document.write( "(2) $\"-15a+-+9g+=+-738\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"16g+=+112\"$
\n" ); document.write( " $\"g+=+7\"$
\n" ); document.write( "The cost of 1 grape is 7 cents
\n" ); document.write( "check answer:
\n" ); document.write( " $\"3a+%2B+5%2A7+=+170\"$
\n" ); document.write( " $\"3a+%2B+35+=+170\"$
\n" ); document.write( " $\"3a+=+170+-+35\"$
\n" ); document.write( " $\"3a+=+135\"$
\n" ); document.write( " $\"a+=+45\"$
\n" ); document.write( "and
\n" ); document.write( " $\"5a+%2B+3g+=+246\"$
\n" ); document.write( " $\"5%2A45+%2B+3%2A7+=+246\"$
\n" ); document.write( " $\"225+%2B+21+=+246\"$
\n" ); document.write( " $\"246+=+246\"$
\n" ); document.write( "OK \n" ); document.write( "

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