document.write( "Question 205729: Solve the problem.\r
\n" ); document.write( "\n" ); document.write( "A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad weighing 40 ounces contains three ounces of bananas for every ounce of strawberries and has the same number of ounces of cantaloupe as strawberries, how many ounces of bananas are in the salad? \n" ); document.write( "

Algebra.Com's Answer #155364 by josmiceli(19441) $\"\"$ $\"About$

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$\"c\"$ = ounces of cantaloupe in salad
\n" ); document.write( " $\"s\"$ = ounces of strawberry in salad
\n" ); document.write( " $\"b\"$ = ounces of banana in salad
\n" ); document.write( "given:
\n" ); document.write( " $\"c+%2B+s+%2B+b+=+40\"$
\n" ); document.write( " $\"b%2Fs+=+3%2F1\"$
\n" ); document.write( " $\"c+=+s\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b%2Fs+=+3\"$
\n" ); document.write( " $\"b+=+3s\"$
\n" ); document.write( "rewriting the 1st equation:
\n" ); document.write( " $\"s+%2B+s+%2B+3s+=+40\"$
\n" ); document.write( " $\"5s+=+40\"$
\n" ); document.write( " $\"s+=+8\"$ oz
\n" ); document.write( "and
\n" ); document.write( " $\"c+=+s\"$
\n" ); document.write( " $\"c+=+8\"$ oz
\n" ); document.write( "and, since
\n" ); document.write( " $\"c+%2B+s+%2B+b+=+40\"$
\n" ); document.write( " $\"8+%2B+8+%2B+b+=+40\"$
\n" ); document.write( " $\"b+=+40+-+16\"$
\n" ); document.write( " $\"b+=+24\"$
\n" ); document.write( "There are 24 ounces of bananas in the salad
\n" ); document.write( "check:
\n" ); document.write( " $\"b%2Fs+=+3\"$
\n" ); document.write( " $\"24%2F8+=+3\"$
\n" ); document.write( " $\"24+=+24\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );