<PRE><B>Question 936063</B>
x = number of horses purchased
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y = cost per horse:
y = 900/x
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z = sale price per horse:
z = 110 + y
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w = total revenue from sale:
w = (x - 1)z
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(w - 900)/900 * 100 = 100
(w - 900)/900 = 100/100
w - 900 = 900
w = 1800
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w = 1800
(x - 1)z = 1800
(x - 1)(110 + y) = 1800
110x + xy - 110 - y = 1800
110x + x900/x - 110 - 900/x = 1800
110x + 900 - 110 - 900/x = 1800
110x + 900 - 110 - 1800 = 900/x
110x - 1010 = 900/x
110xx - 1010x - 900 = 0
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the above quadratic equation is in standard form, with a=110, b=-1010 and c=-900
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
110 -1010 -900
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 10
x = -0.818181818
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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 horses purchased = 10
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