<PRE><B>Question 1179369</B>
seller has 80kgs of peanuts worth $1.50/kg and 50 kg of cashews worth $4.50/kg.
 he wants to make a 100 kgs mixture to sell at $2.61/kg .
 find the number of kgs of cashews and peanuts sold.
:
let x = amt of $4.50 cashews
total mixture is 100 kg, therefore:
(100-x) = no. of $1.50 peanuts
:
4.5x + 1.5(100-x) = 2.61(100)
4.5x + 150 - 1.5x = 261
4.5x - 1.5x = 261 - 150
3x = 111
x = 111/3
x = 37 kg of cashews
then
100 - 37 = 63 kg of peanuts
:
 how many cashews are left over at the end?
50 - 37 = 13 kg left over</PRE>