Question 695706
a grocer mixed nuts worth $.80 per pound with nuts worth $.50 per pound. How many pounds of each did he use to make a mixture of 30 pounds to sell at $.75 per pound?
==================
Using 2 equations:
Quantity: a + b = 30 lbs
Value:::80a + 50b = 75*30
------------
Modify the equations for elimination:
8a + 8b = 8*30
8a + 5b = 3*75
------
Subtract and solve for "b":
3b = 15
b = 5 lbs (amt of 50 cent nuts)
--------
Solve for "a" using a + b = 30
a + 5 = 30
a = 25 lbs (amt. of 80 cent nuts)
==============
Cheers,
Stan H.
================