document.write( "Question 563236: An apple costs the same as 2 oranges. Together, an orange and a banana cost $.10 more than an apple. Two oranges cost $.15 more Ghana banana. What is the cost for one of each fruit? \n" ); document.write( "

Algebra.Com's Answer #364834 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = cost of an apple
\n" ); document.write( "Let $\"+b+\"$ = cost of a banana
\n" ); document.write( "Let $\"+c+\"$ = cost of an orange
\n" ); document.write( "-----------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+2c+\"$
\n" ); document.write( "(2) $\"+b+%2B+c+=+a+%2B+.1+\"$
\n" ); document.write( "(3) $\"+2c+=+b+%2B+.15+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(3) $\"+b+%2B+.15+=+2c+\"$
\n" ); document.write( "(3) $\"+b+=+2c+-+.15+\"$
\n" ); document.write( "Substitute (1) and (3) into (2)
\n" ); document.write( "(2) $\"+b+%2B+c+=+a+%2B+.1+\"$
\n" ); document.write( "(2) $\"+2c+-+.15+%2B+c+=+2c+%2B+.1+\"$
\n" ); document.write( "(2) $\"+3c+-+.15+=+2c+%2B+.1+\"$
\n" ); document.write( "(2) $\"+c+=+.1+%2B+.15+\"$
\n" ); document.write( "(2) $\"+c+=+.25+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+2c+\"$
\n" ); document.write( "(1) $\"+a+=+2%2A.25+\"$
\n" ); document.write( "(1) $\"+a+=+.5+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+b+=+2c+-+.15+\"$
\n" ); document.write( "(3) $\"+b+=+2%2A.25+-+.15+\"$
\n" ); document.write( "(3) $\"+b+=+.5+-+.15+\"$
\n" ); document.write( "(3) $\"+b+=+.35+\"$
\n" ); document.write( "The cost of an apple is $.50
\n" ); document.write( "The cost of a banana is $.35
\n" ); document.write( "The cost of an orange is $.25
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+b+%2B+c+=+a+%2B+.1+\"$
\n" ); document.write( "(2) $\"+.35+%2B+.25+=+.5+%2B+.1+\"$
\n" ); document.write( "(2) $\"+.6+=+.6+\"$
\n" ); document.write( "OK
\n" ); document.write( "(3) $\"+2c+=+b+%2B+.15+\"$
\n" ); document.write( "(3) $\"+2%2A.25+=+.35+%2B+.15+\"$
\n" ); document.write( "(3) $\"+.5+=+.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );