Why Is a Plowed Field Like Feathered Game?

1. Why Is a Plowed Field Like Feathered Game? It is part ridges • 8 kg cashews • 12 kg pecans • 100 kg coffee A • 50 kg coffee B • 1 kg $6.00 candy • 2 kg $4.50 candy • 2 kg raisins • 7 kg pork • 250 kg bluegrass • 16 embossed cards • 9 regular cards

2. Mixture Problems Objective: To solve mixture problems. Standard 5.0

3. Mixture Problems Notes Paper 1) How much water was added to 12 L of a 35% boric acid solution to produce a solution that was 20% boric acid? amount ∙ % acid = total value Multiply across Add down water solution Mixture .35(12) + 0 = .20(x + 12) 4.2 = .20x + 2.4 1.8 = .2x 9 = x 9 L water

4. Mixture Problems Notes Paper 2) Milk with 3% butterfat was mixed with cream with 27% butterfat to produce 36 L of half-and-half with 11% butterfat content. How much of each was used? amount ∙ % bf = total value Multiply across Add down milk cream Mixture .03x + .27(36 – x) = .11(36) .03x + 9.72 – .27x = 3.96 -.24x + 9.72 = 3.96 -.24x = -5.76 x = 24 L (3%) 12 L (27%)

5. Mixture Problems Notes Paper 3) How much water was added to 3 L of a 27% boric acid solution to produce a solution that was 18% boric acid? This is like problem #1 amount ∙ % acid = total value Multiply across Add down water solution Mixture 0 + .27(3) = .18(x + 3) .81 = .18x + .54 .27 = .18x 1.5 = x 1.5 L water

6. Mixture Problems Notes Paper 4) A radiator contains 6 L of a 48% antifreeze mixture. How much pure antifreeze should be added to make a mixture that is 74% antifreeze? amount ∙ % af = total value Multiply across Add down pure anti 48% anti Mixture x + .48(6) = .74x + 4.44 x + 2.88 = .74x + 4.44 .26x + 2.88 = 4.44 .26x = 1.56 6 L pure antifreeze

7. Homework • Mixture problems (6 problems) Show all of your work receive full credit!