<PRE><B>Question 293357</B>
at a nut house, a pound of cashews sell for $6.00 per pound and a pound of peanuts sells for $3.00 per pound.If you would like a four pound mixture of peanuts and cashews at a cost of $4.75 per pound,how many pounds of cashews and peanuts must you choose?
:
Let x = amt of cashews required
The total is to be 4 lb, therefore
(4-x) = amt of peanuts
:
A typical mixture equation
6x + 3(4-x) = 4.75(4)
:
6x + 12 - 3x = 19
:
6x - 3x = 19 - 12
:
x = {{{7/3}}}
x = 2{{{1/3}}} lb of cashews
and
4 - 2{{{1/3}}} = 1{{{2/3}}} lb of peanuts
:
:
Check solution
6(2.33) + 3(1.67) = 4.75(4)
14 + 5 = 19</PRE>