Question 55956
Here's the problem, Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the mixture, he uses Virginia peanuts that cost $3.50 per pound, and Spanish peanuts that cost $3 per pound. He mixes 10 pounds at a time. 
:
(a)How many pounds of Virginia peanuts does Sergio use?
Assume he is making 10 lb of the $3.40 mixture
:
Let x = no. of pounds of the Virginia ($3.50) peanuts
Then (10-x) = no. of pounds of the Spanish ($3) peanuts
:
The Equation:
3.5x + 3(10-x) = 3.4(10)
3.5x + 30 - 3x = 34
           .5x = 34 - 30
             x = 4/.5
             x = 8 pounds of Virginia peanuts
: 
(b)How many pounds Spanish peanuts does Sergio use?
   Spanish peanuts must be 2 pounds since the total is 10 pounds
:
Check: 
3.5(8) + 3(2) = 3.4(10)
        28 + 6 = 34