document.write( "Question 701769: Daniela Ann purchased some kilos of mangoes for 200 pesos and sold all except 3 kilos at a profit of 8 per kilo. With the total amount received, he could buy 2 more kilos than before. Find the number of kilos bought and the price per kilo? \n" ); document.write( "

Algebra.Com's Answer #432585 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+k+\"$ = the number of kilos of mangoes she bought
\n" ); document.write( "She sold $\"+k+-+3+\"$ kilos
\n" ); document.write( " $\"+8%2A%28+k+-+3+%29+\"$ = her total profit
\n" ); document.write( " $\"+200+%2B+8%2A%28+k+-+3+%29+\"$ = the amount she received
\n" ); document.write( " $\"+200+%2B+8k+-+24+=+176+%2B+8k+\"$
\n" ); document.write( "She can now buy $\"+k+%2B+2+\"$ kilos at $\"+200%2Fk+\"$ pesos / kilo
\n" ); document.write( " $\"+176+%2B+8k+=+%28+k+%2B+2+%29%2A%28+200%2Fk+%29+\"$
\n" ); document.write( " $\"+176+%2B+8k+=+200+%2B+400%2Fk+\"$
\n" ); document.write( " $\"+8k+=+24+%2B+400%2Fk+\"$
\n" ); document.write( " $\"+8k%5E2+=+24k+%2B+400+\"$
\n" ); document.write( " $\"+8k%5E2+-+24k+-+400+=+0+\"$
\n" ); document.write( " $\"+k%5E2+-+3k+-+50+=+0+\"$
\n" ); document.write( "Use quadratic equation
\n" ); document.write( " $\"+k+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+-3+\"$
\n" ); document.write( " $\"+c+=+-50+\"$
\n" ); document.write( " $\"+k+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A1%2A%28-50%29+%29%29+%2F+%282%2A1%29+\"$
\n" ); document.write( " $\"+k+=+%28+3+%2B-+sqrt%28++9+%2B+200+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+k+=+%28+3+%2B-+14.4568+%29+%2F+2+\"$
\n" ); document.write( " $\"+k+=+17.4568+%2F+2+\"$
\n" ); document.write( " $\"+k+=+8.728+\"$
\n" ); document.write( "She bought 8.728 kilos
\n" ); document.write( "at a cost of $\"+200+%2F+8.728+=+22.915+\"$ pesos
\n" ); document.write( "Hope I got it
\n" ); document.write( " \n" ); document.write( "

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