Kedra earned $192 from the sale of flower arrangements that she had made. If she had charged $8 more apiece, she could have sold two fewer arrangements and still have earned the same amount. How many arrangements did Kedra sell.
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Let she sold x arrangements... @ $y each
hence xy = 192 from here we can write y = 192/x
Next if shw would have sold (x-2) pieces at $(y+8) then
(x-2)(y+8) = 192
solving we get (x-2)( 192/x +8) = 192
or we can write , (x-2) (192+8x) = 192x
or, 192x+8x^2 -384 -16x =192x
or , 8x^2 -16x-384 =0
we can write it as 8(x+6)(x-8) = 0 hence x = -6 or x = 8
since she can not sell Negative arrangments there fore we will omit x = -6
Answer = she sold 8 arrangements
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