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2.9 – Weighted Averages

2.9 – Weighted Averages. 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.?. Example 1

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2.9 – Weighted Averages

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  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.? 8.40 + 7.28

  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.? 8.40 + 7.28

  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.? 8.40 + 7.28x

  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.? 8.40 + 7.28x

  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) + 7.28x

  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)+ 7.28x

  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)+ 7.28x

  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)+ 7.28x =

  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)+ 7.28x =

  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)+ 7.28x =

  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)+ 7.28x =

  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) + 7.28x = (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)+ 7.28x = (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)+ 7.28x = (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)+ 7.28x = 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)+ 7.28x = 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x =

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67

  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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 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)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 x = 6.04 lbs.

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