To Make A mix the owner of a fruit and nut stand wants to c

To Make A mix , the owner of a fruit and nut stand wants to combine cashews that sells for $7.00 per lb with walnuts that sell for $5.50 per lb to obtain 35 lb of a mixture that sells for $6.50 per lb. How many pounds of each type of nuts should be used in the mixture?

Solution

Let x lb of $ 7.00 cashews and y lb of $ 5.50 cashews are mixed

x+y = 35 ---(1)

7x+ 5.5y = (x+y)6.50

0.50x - y =0 ----(2)

Solve equation 1 and 2 :

we get x= 70/3 = 23.3 lb ; y = 35/3 = 11. 67 lb