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Aim # 15: How Do We Create Mixtures and Solutions?. 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 $278, how much is the restaurant paying per pound of butter?. Answer: 16 cents per lb.
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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 $278, how much is the restaurant paying per pound of butter? Answer: 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: 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 pyroxide, 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): Let r = Pounds of Red seed Handout Q 1, first page 63 — r = lbsBlueseed # 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 0.90(63)
Minilesson (cont’d): Let r = Pounds of Red seed 63 — r = lbsBlueseed = 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): Let x = pounds of 82¢ candy Handout Q 5, first page # of units X = Total Price Unit Price 0.62 30 0.62(30) Red Fescue 0.82x x 0.82 Blueseed 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.