document.write( "Question 129782: Mr.Lim buys 30kg of cheese at a certain price. She finds that if she had bought some cheaper cheese costing 95 cents less per kg , she could have had 32.5kg for the same amount of money . What is the price per kg of the cheese which is more expensive ?
\n" ); document.write( " Sir, help me Please \n" ); document.write( "

Algebra.Com's Answer #94774 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"p\"$ = the price per kg of the cheese she bought
\n" ); document.write( "Let $\"C\"$ = what she paid for the cheese
\n" ); document.write( " $\"C+=+30p\"$
\n" ); document.write( "The cheaper cheese cost 95 cents less per kg, or
\n" ); document.write( " $\"p+-+95\"$
\n" ); document.write( " $\"C+=+32.5%28p+-+95%29\"$
\n" ); document.write( "Note that $\"C\"$ is the same becase the cheese cost her
\n" ); document.write( "the same amount
\n" ); document.write( "Set the $\"C\"$ 's equal to eachother
\n" ); document.write( " $\"30p+=+32.5%28p+-+95%29\"$
\n" ); document.write( " $\"30p+=+32.5p+-+3087.5\"$
\n" ); document.write( " $\"2.5p+=+3087.5\"$
\n" ); document.write( " $\"p+=+1235\"$
\n" ); document.write( "This is in cents, since I used 95 cents in the equation
\n" ); document.write( "So, the price per kg that she paid was $12.35
\n" ); document.write( "This is the more expensive cheese
\n" ); document.write( "check answer:
\n" ); document.write( " $\"C+=+30p\"$
\n" ); document.write( " $\"C+=+30%2A1235\"$
\n" ); document.write( " $\"C+=+37050\"$
\n" ); document.write( " $\"C+=+32.5%28p+-+95%29\"$
\n" ); document.write( " $\"C+=+32.5%281235+-+95%29\"$
\n" ); document.write( " $\"C+=+32.5%2A1140\"$
\n" ); document.write( " $\"C+=+37050\"$
\n" ); document.write( "This verifies that she would have paid $370.50 in either case \n" ); document.write( "

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