SOLUTION: 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 befo

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = the number of kilos of mangoes she bought
She sold +k+-+3+ kilos
+8%2A%28+k+-+3+%29+ = her total profit
+200+%2B+8%2A%28+k+-+3+%29+ = the amount she received
+200+%2B+8k+-+24+=+176+%2B+8k+
She can now buy +k+%2B+2+ kilos at +200%2Fk+ pesos / kilo
+176+%2B+8k+=+%28+k+%2B+2+%29%2A%28+200%2Fk+%29+
+176+%2B+8k+=+200+%2B+400%2Fk+
+8k+=+24+%2B+400%2Fk+
+8k%5E2+=+24k+%2B+400+
+8k%5E2+-+24k+-+400+=+0+
+k%5E2+-+3k+-+50+=+0+
Use quadratic equation
+k+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+1+
+b+=+-3+
+c+=+-50+
+k+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A1%2A%28-50%29+%29%29+%2F+%282%2A1%29+
+k+=+%28+3+%2B-+sqrt%28++9+%2B+200+%29%29+%2F+2+
+k+=+%28+3+%2B-+14.4568+%29+%2F+2+
+k+=+17.4568+%2F+2+
+k+=+8.728+
She bought 8.728 kilos
at a cost of +200+%2F+8.728+=+22.915+ pesos
Hope I got it