A company wants a new flavor of coffee. How many pounds worth $7 a pound should be added to 30 pounds worth $2 a pound to get a mixture worth $5 a pound?

Question

Mixture problem

Answer 1

Let x = the number of pounds of $7 coffee.  That means that the final coffee sold at $5 will be x + 30 pounds.

 

7x + 2(30) = 5(x + 30)

 

7x + 60 = 5x + 150.

 

Solve this and you will get the answer.

 

I hope that helps.