1. 2.9 – Weighted Averages

2. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

3. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

4. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

5. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
$8.40/lb

6. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
$8.40/lb

7. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
$8.40/lb + $7.28/lb

8. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

9. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

10. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? x

11. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? x

12. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x

13. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x

14. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x

15. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x =

16. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x =

17. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x =

18. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x =

19. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = (9 + x)

20. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = (9 + x)

21. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = (9 + x)7.95

22. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)

23. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
75.6

24. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x) x

25. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x =

26. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = 71.55

27. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = 71.55

28. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x

29. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x

30. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x

31. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x =

32. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = -4.05

33. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x

34. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x

35. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x

36. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x =

37. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05

38. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05

39. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05 x

40. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05
x =

41. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05
x = 6.04

42. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05
x = 6.04 lbs.

43. Example 1
Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?
8.40(9) x = 7.95(9 + x)
x = x
7.28x = x
-7.95x x
-0.67x = -4.05
x = 6.04 lbs.