2.9 – Weighted Averages

2.9 – Weighted Averages

Example 1Ms. 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 1Ms. 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 1Ms. 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 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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 =

Example 1Ms. 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 =

Example 1Ms. 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 =

Example 1Ms. 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 =

Example 1Ms. 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)

Example 1Ms. 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)

Example 1Ms. 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

Example 1Ms. 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)

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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 =

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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 =

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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 =

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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

Example 1Ms. 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 =

Example 1Ms. 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

Example 1Ms. 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.

Example 1Ms. 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.