in a candy shop chocolate sells for $4 a pound is mixed with nuts which is sold for $2.50 a pound are mixed to form a chocolate-nut candy which sells for $3.50

Question

I rally need help with this question. It is due tomorrow and my teacher did not explain it very well to me

 

Answer 1

Do we have a total of the number of pounds in the final mix?
Or how many pounds of chocolate and nuts were used?
 
If we use c pounds of chocolate and n pounds of nuts we have:
 
4c + 2.5n = 3.5(c+n)
 
If we know the final weight we can do this.
Example.  We wish to make 5 pounds of chocolate/nut mix at a cost of $3.50 per pound
 
4c + 2.5(5-c) = 3.5(5)     solving this for c would give us the amount of chocolate.
 
Then we use 5-c to find amount of nuts to add