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Common Core Algebra Unit 4: Applying Equations Halloween 2016Lesson 4: Mixture and Proportion ProblemsObjective: SWBAT set up and solve problems with mixtures and proportions.Do Now:a) How much does it cost you if you purchase 3 pounds of coffee costing $5.50 per lb. and 7 pounds of coffee costing $6.00 per lb.? b) If the two types of coffees are mixed, how much does the mixture weigh? 594360011430000c) What is the price per pound of the mixture?Group Task:Using your knowledge of yesterday’s lesson complete the chart below with your groups.Grade A pumpkin seeds cost $8/lb. and Grade B pumpkin seeds cost $5/lb. How many pounds of each type of seed are needed to produce a 30 pound mixture with a total value of $225?Cost per pound(how much is 1 lb.)Quantity(how many pounds)Total Value(how much money)Grade A Pumpkin SeedsGrade B Pumpkin Seeds-3530609652000Model Example:A mixture weighing 10 pounds consists of coffee that sells for $6.25 per lb. and coffee that sells for $4.50 per lb. If the mixture sells for $5.20 per lb., how many pounds of each coffee was in the mixture?Cost per poundQuantityTotal ValueCheck for Understanding:Mark wants to make trail mix made up of almonds, peanuts and dried cranberries. He wants to mix one part almonds, two parts peanuts, and three parts cranberries. Almonds cost $5.00 per pound, peanuts cost $3.00 per pound and dried cranberries cost $7.00 per pound. Mark has $16.00 to spend. Determine how many pounds of trail mix he can purchase?Cost per poundQuantityTotal ValueAlmondsPeanutsCranberriesLesson Summary:Key Idea in setting up money/mixture word problems: _______________ x _______________ = total value ($)Problem Set:1. How many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that sells for $15 per pound?2. Coffee worth $1.05 per pound is mixed with coffee worth 85? per pound to obtain 20 pounds of a mixture worth 90? per pound. How many pounds of each type are used?3. Suppose the owner of a candy store mixes two types of candies. She decides to create a 20-pound mixture of raspberry-flavored gumdrops and cherry-flavored jelly beans. The gumdrops sell for $0.95 per pound and the jelly beans sell for $1.20 per pound. She plans to sell the mix for $1.10 per pound. How many pounds of each candy should she use in her mix?4. A local grocer has decided to mix 100 pounds of cashews and almonds for a holiday special. Cashews typically cost $8 per pound and almonds cost $3 per pound. How many pounds of each type of nut must he mix to obtain a mixture that will cost his customers $5 per pound?7. How many pounds of walnuts that cost $0.80 per pound must be mixed with 8 pounds of cashews that costs $1.25 per pound to make a mixture of nuts that costs $1.00 per pound?Challenge Questions:1. You need 20 liters of 20% acid solution. You have jugs of 10% solution and 25% solution. How many liters of each should you combine to get the needed solution? Hint: Change the percents to decimals!?2. You need a?15%?acid solution for a certain test, but your supplier only ships a10%?solution and a?30%?solution. Rather than pay the hefty surcharge to have the supplier make a?15%?solution, you decide to mix?10%solution with?30%?solution, to make your own15%?solution. You need?10?liters of the?15%acid solution. How many liters of?10%?solution and?30%?solution should you use?Name ____________________Exit SlipCommon Core Algebra Unit 4: Applying Equations 10/31/16Lesson 4: Mixture and Proportion ProblemsObjective: SWBAT set up and solve problems with mixtures and proportions.The owner of a coffee shop has decided to mix types of teas to create a new blend. He will mix a type of tea that sells for $4 per pound with a type that sells for $2.40 per pound to produce 80 pounds of mixture that he will sell for $3.60 per pound. How much of the tea that costs $2.40 per pound must he use in the mixture?A. 60 poundsB. 20 poundsC. 30.625 poundsD. -360 poundsName ____________________Exit SlipCommon Core Algebra Unit 4: Applying Equations 10/31/16Lesson 4: Mixture and Proportion ProblemsObjective: SWBAT set up and solve problems with mixtures and proportions.The owner of a coffee shop has decided to mix types of teas to create a new blend. He will mix a type of tea that sells for $4 per pound with a type that sells for $2.40 per pound to produce 80 pounds of mixture that he will sell for $3.60 per pound. How much of the tea that costs $2.40 per pound must he use in the mixture?A. 60 poundsB. 20 poundsC. 30.625 poundsD. -360 pounds ................
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