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Question 899335:
Found 2 solutions by MathTherapy, sammy241076:
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
last month mrs santos bought x kilos of fish for 600 today she paid the same amount but got 3 kilos less due to price increase of 45 per kilo. Find the value of x and the original price of a kilo of fish?

Thank you please help.

Amount purchased last month: x kilos
Since last month, she bought x kilos for 600, she paid 600%2Fx, per kilo, then
Since today, she bought x – 3 kilos for 600, she paid 600%2F%28x+-+3%29, per kilo
Since there was a 45 per kilo increase, then we have: 600%2Fx+%2B+45+=+600%2F%28x+-+3%29
600(x – 3) + 45(x)(x - 3) = 600(x) ------- Multiplying by LCD, x(x – 3)
600x+-+1800+%2B+45x%5E2+-+135x+=+600x+
45x%5E2+-+600x+%2B+600x+-+135x+-+1800+=+0
45x%5E2+-+135x+-+1800+=+0
45%28x%5E2+-+3x+-+40%29+=+45%280%29 ------ Factoring out GCF, 45
x%5E2+-+3x+-+40+=+0
(x - 8)(x + 5) = 0
x, or original amount purchased = highlight_green%288%29 kilos OR x = - 5 (ignore)
Original price of 1 kilo: 600%2F8, or highlight_green%2875%29
You can do the check!!
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Answer by sammy241076(1) About Me  (Show Source):
You can put this solution on YOUR website!
thanks to MathTherapy(2594)