<PRE><B>Question 934984</B>
x = number of oranges bought at original price
y = original dollar price per orange
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xy = 36
y = 36/x
(x + 6)(y - 0.50) = 36
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xy - 0.50x + 6y - 3 = 36
xy - 0.50x + 6y = 39
x36/x - 0.50x + 6*36/x = 39
36 - 0.50x + 216/x = 39
216/x - 0.50x = 39 - 36
216/x - 0.50xx/x = 3
216 - 0.50xx = 3x
0.50xx + 3x - 216 = 0
xx + 6x - 432 = 0
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the above quadratic equation is in standard form, with a=1, b=6 and c=-432
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 6 -432
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the quadratic has two real roots at:
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x = 18
x = -24
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the negative root doesn&#39;t fit the problem statement, so use the positive root:
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answer:
x = number of oranges bought at original price = 18
y = 36/x
y = 36/18
y = original dollar price per orange = 2
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