Question 66976
A can contains two different kinds of nuts, weighs 5 pounds, and costs $16.  One type of nut costs $3.50 a pound.  The other type costs $2.75 a pound.  How many pounds of $2.75 nuts are there?
-------------------
1st nut DATA:
Amount = x lbs ; Value=3.5x dollars
--------------
2nd nut DATA: 
Amount = 5-x lbs ; Value=2.75(5-x)=13.75-2.75x dollars
-------------
Mix of nuts DATA;
Amount = 5 lbs ; Value = 16 dollars
----------------
EQUATION:
value + value = 16 dollars
3.5x+13.75-2.75x = 16
0.75x=2.25
x=3 lbs (amount of $3.50 nuts)
5-x=2 lbs ( amount of $2.75 nuts)
----------
Cheers,
Stan H.