document.write( "Question 379546: A repairman purchased some washing machine motors for a total of $224. When the unit cost decreased by $4, he was able to buy one extra motor for the same total price. How many motors did he buy originally? \n" ); document.write( "

Algebra.Com's Answer #269469 by mananth(16946) $\"\"$ $\"About$

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let the number of motors he bought be x
\n" ); document.write( "he paid $224
\n" ); document.write( "so he paid 224/x for each motor.
\n" ); document.write( "..
\n" ); document.write( "(224/x) -4 is the reduced price.
\n" ); document.write( "he got (x+1) motors
\n" ); document.write( "((224/x)-4)(x+1)=224
\n" ); document.write( "((224-4x)/x)(x+1)= 224
\n" ); document.write( "(224-4x)(x+1)/x=224
\n" ); document.write( "multiply by x
\n" ); document.write( "(224-4x)(x+1)= 224x
\n" ); document.write( "224x+224-4x^2-4x=224x
\n" ); document.write( "re write
\n" ); document.write( "224x-224x+224 -4x^2-4x=0
\n" ); document.write( "4x^2+4x-224=0
\n" ); document.write( "/4
\n" ); document.write( "x^2+x-56=0
\n" ); document.write( "x^2+8x-7x-56=0
\n" ); document.write( "x(x+8)-7(x+8)=0
\n" ); document.write( "(x+8)(x-7)=0
\n" ); document.write( "x= 7
\n" ); document.write( "The number of motors he bought originally = 7
\n" ); document.write( "..
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "

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