Amy's sells kale at x dollar per pound for the first 25 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
Choose the correct choice from the following answers:
A) 24
B) 25
C) 36
D) 27
E) 28
For Amy's deal to be better, the cost has to be less or equal to Lucia's   Assuming 'n' is the number of pounds of kale, the equation is   25x + (n-25) (0.8x) &lt;= 14x + (n-14)(0.9x)   Resolve it:   ==&gt; 25x + 0.8nx - 20x &lt;= 14x + 0.9nx - 12.6x   ==&gt; 3.6x &lt;=0.1nx   ==&gt; 36x &lt; =nx   ==&gt; x (n-36) &gt; = 0   as x cannot be 0,   ==&gt; n - 36 &gt;=0   ==&gt; n &gt; = 36   so the minimum value is 36   '36' would be the correct answer
<result>C</result>
Amy's sells kale at x dollar per pound for the first 25 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?