document.write( "Question 957531: A person purchased a number of machines for $280. If he purchased by the same amount of money a number of machines that is less than the original number by 4 machines, the price of the machines would increase by $8. How many machines did he purchase. \n" ); document.write( "

Algebra.Com's Answer #585142 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = the number of machines
\n" ); document.write( "he purchased
\n" ); document.write( " $\"+280%2Fn+\"$ = the price for 1 machine
\n" ); document.write( "----------------------------------
\n" ); document.write( " $\"+280%2F%28+n+-+4+%29+=+288%2Fn+\"$
\n" ); document.write( "Multiply both sides by $\"+n%2A%28+n-4+%29+\"$
\n" ); document.write( " $\"+280n+=+288%2A%28+n+-+4+%29+\"$
\n" ); document.write( " $\"+280n+=+288n+-+1152+\"$
\n" ); document.write( " $\"+8n+=+1152+\"$
\n" ); document.write( " $\"+n+=+144+\"$
\n" ); document.write( "He bought 144 machines
\n" ); document.write( "check:
\n" ); document.write( " $\"+280%2F%28+144+-+4+%29+=+288%2F144+\"$
\n" ); document.write( " $\"+280%2F140+=+288%2F144+\"$
\n" ); document.write( " $\"+2+=+2+\"$
\n" ); document.write( "OK\r
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