document.write( "Question 191945This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": 92. Recovering an investment. The manager at Cream of
\n" ); document.write( "the Crop bought a load of watermelons for $200. She
\n" ); document.write( "priced the melons so that she would make $1.50 profit on
\n" ); document.write( "each melon. When all but 30 had been sold, the manager
\n" ); document.write( "had recovered her initial investment. How many did she
\n" ); document.write( "buy originally?
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Algebra.Com's Answer #144210 by josmiceli(19441)\"\" \"About 
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\n" ); document.write( "Let \"x\"= the number of melons bought originally
\n" ); document.write( "Given:
\n" ); document.write( "\"200%2Fx\"= Original cost per melon
\n" ); document.write( "\"200%2Fx+%2B+1.5\"= Selling price per melon
\n" ); document.write( "\"x+-+30\"= number of melons sold
\n" ); document.write( "--------------
\n" ); document.write( "\"200+=+%28200%2Fx+%2B+1.5%29%2A%28x+-+30%29\"
\n" ); document.write( "\"200+=+200+-+6000%2Fx+-+45+%2B+1.5x\"
\n" ); document.write( "\"6000%2Fx+-+1.5x+%2B+45+=+0\"
\n" ); document.write( "\"6000+-+1.5x%5E2+%2B+45x+=+0\"
\n" ); document.write( "\"-1.5x%5E2+%2B+45x+%2B+6000+=+0\"
\n" ); document.write( "\"-15x%5E2+%2B+450x+%2B+60000+=+0\"
\n" ); document.write( "\"-x%5E2+%2B+30x+%2B+4000+=+0\"
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+-1\"
\n" ); document.write( "\"b+=+30\"
\n" ); document.write( "\"c+=+4000\"
\n" ); document.write( "\"x+=+%28+30+%2B-+sqrt%28++30%5E2+-+4%2A%28-1%29%2A4000+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%2830+%2B-+sqrt%28+900+%2B+16000+%29%29%2F+2+\"
\n" ); document.write( "\"x+=+%2830+%2B-+sqrt%28+16900+%29%29%2F+2+\"
\n" ); document.write( "\"x+=+%2830+%2B-+130%29%2F2\"
\n" ); document.write( "\"x+=+160%2F2\"
\n" ); document.write( "\"x+=+80\"
\n" ); document.write( "She bought 80 melons originally
\n" ); document.write( "check answer:
\n" ); document.write( "\"200+=+%28200%2Fx+%2B+1.5%29%2A%28x+-+30%29\"
\n" ); document.write( "\"200+=+%28200%2F80+%2B+1.5%29%2A%2880+-+30%29\"
\n" ); document.write( "\"200+=+%282.5+%2B+1.5%29%2A%2850%29\"
\n" ); document.write( "\"200+=+4%2A50\"
\n" ); document.write( "\"200+=+200\"
\n" ); document.write( "OK
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