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##### Aim # 15: How Do We Create Mixtures and Solutions?

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**Do Now**2) If there is a 60% chance of rain, what is the chance of “no rain?” 1) If a restaurant purchases 45 lbs of butter costing $72.45, how much is the restaurant paying per pound of butter? Answer: $1.16 cents per lb. [Known as the unit cost] Answer: 40% chance it won’t rain.**Minilesson:**Mixture and solution problems are extremely similar to each other—and very similar to coin and investment problems: Ex: Notice: Units cancel like common factors.**Minilesson (cont’d):**EUREKA MOMENT?**Minilesson (cont’d):**$ 80. 85 + $58.30 =$139.15 $58.30 35 lb+55lb =90 lb $80.85 = 55 lb bag Of peanuts + 35 lb bag Of cashews Unit Price = $2.31/lb Unit Price = $1.56/lb Unit Price = $1.06/lb**Minilesson (cont’d):**Let r = Pounds of Red seed Handout Q 1, first page 63 — r = lbsBlueseed This column provides the equation to solve # of units X = Total Price Unit Price 0.85 r Red Fescue 0.85r 1.20 1.20(63 —r) Blueseed (63 —r) Total Combined 0.90 63 56.70**Minilesson (cont’d):**Let r = Pounds of Red seed 63 — r = lbsBlueseed 56.70 = 54 Answer: 54 lbs if red fescue 9 lbs of blue seed.**Minilesson (cont’d):**Let r = Pounds of Red seed 63 — r = lbsBlueseed YOU MUST CHECK YOUR WORK!!**Minilesson (cont’d):**Handout Q 5, first page Let x = pounds of 82¢ candy This column provides the equation to solve # of units X = Total Price Unit Price 0.62 30 18.60 62 ¢ candy 0.82x x 0.82 82 ¢ candy Total Combined 0.70 (30 + x) 0.70(30 + x)**Minilesson (cont’d):**Let x = pounds of 82¢ candy Answer: 20 lbs of the 82-cent candy.**Minilesson (cont’d):**YOU MUST CHECK YOUR WORK!!**Minilesson (cont’d):**Pharmacists and Mad Scientists**Minilesson:**Solution problems concern the concentration of a certain substance within H2O. You see this especially at the pharmacy when you need to buy hydrocortisone, rubbing alcohol, hydrogen peroxide, etc. The packaging tells you the percent of concentration of the active ingredient. The substance as a % of the solution The amt of substance IN the solution The amt of solution × =**Minilesson (cont’d):**+ = 25% Salt 15% Salt 19.4% Salt**Guided Practice**Handout, Side 1, qq. 1, 5 Handout, Side 2, qq. 19, 23**Independent Practice**Handout, Side 1, qq. 2, 9 Handout, Side 2, qq. 20, 24**HW # 15 Due WEDNEsday**Our Textbook, p. 324, qq. 9--14 Answers on next page**HW # 15 Due WEDNEsday**Our Textbook, p. 324, ANSWERS 9) 25 L 10) 30 mL 11) 3 g 12) 15 kg of the $5; 25 kg of the $5.80 13) 8 kg dried apples; 12 kg dried apricots 14) 80 ₵ per Liter