<PRE><B>Question 286666</B>
If I have ten pounds of peanuts at 3.50 a pound.. how many pounds of almonds do I need to mix in at $3 a pound in order to have a cost of $3.40 a pound?


Let amount of pounds of almonds be A


10 lbs of peanuts, at $3.5 per = $35


A lbs of almonds, at $3 per = 3A


Total cost of peanuts + total cost of almonds = total cost of nuts


35 + 3A = 10 + A(3.4), or 35 + 3A = 3.4(10 + A) 


35 + 3A = 34 + 3.4A


3A - 3.4A = 34 - 35


- .4A = - 1


{{{A = (-1)/-.4 = 2.5}}}


A, or amount of pounds of almonds needed = {{{highlight_green(2.5)}}} lbs.


Check


10(3.5) + 2.5(3) = (10 + 2.5)3.4


35 + 7.5 = 34 + 8.5


$42.50 = $42.50 (TRUE)


Also TRUE ------&gt; $42.50 / 12.5 lbs = $3.40</PRE>