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#1#1 #2#2 An artist mixes 24 gallons of blue paint with 136 gallons of yellow paint to make a custom color for a large project. What percent of the new.

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Presentation on theme: "#1#1 #2#2 An artist mixes 24 gallons of blue paint with 136 gallons of yellow paint to make a custom color for a large project. What percent of the new."— Presentation transcript:

1 #1#1 #2#2 An artist mixes 24 gallons of blue paint with 136 gallons of yellow paint to make a custom color for a large project. What percent of the new mixture is blue?

2 #1#1

3 #2#2

4 Mixture Problems

5 50 Liter 20 Liter 30 Liter Acid Water

6 Mixture Problems Q TTTT WWWW HHHH 50 Liter 20 Liter 30 Liter Acid Water

7 Mixture Problems Q TTTT WWWW HHHH 50 Liter 20 Liter 30 Liter 40% Acid solution 40% Acid Water

8 Mixture Problems Q TTTT WWWW HHHH 50 Liter 20 Liter 30 Liter 40% Acid solution 40% Acid Water 40% 40% 40% 40%

9 Mixture Problems Q TTTT WWWW HHHH 50 Liter 20 Liter 30 Liter Acid Water 40% Acid solution 40% 40% 40%

10 a a = amount of 12% solution b b = amount of 20% solution A chemist mixes a 12% alcohol solution with a 20% alcohol solution to make 300 milliliters of an 18% alcohol solution. How many milliliters of each solution does the chemist use? 12% solution 18% solution 20% solution#1#1

11 Amount of Solution Amount of alcohol ab 300 + = 0.12a0.20b 0.18(300) = 54 54 12% solution 20% solution 18% solution A chemist mixes a 12% alcohol solution with a 20% alcohol solution to make 300 milliliters of an 18% alcohol solution. How many milliliters of each solution does the chemist use? #1#1 a a = amount of 12% solution b b = amount of 20% solution

12 Amount of Solution Amount of alcohol ab 300 + = 0.12x0.20y 0.18(300) = 54 54 12% solution 20% solution 18% solution A chemist mixes a 12% alcohol solution with a 20% alcohol solution to make 300 milliliters of an 18% alcohol solution. How many milliliters of each solution does the chemist use? #1#1 a a = amount of 12% solution b b = amount of 20% solution

13 Amount of Solution Amount of alcohol ab 300 + = 0.12x0.20y 0.18(300) = 54 54 12% solution 20% solution 18% solution A chemist mixes a 12% alcohol solution with a 20% alcohol solution to make 300 milliliters of an 18% alcohol solution. How many milliliters of each solution does the chemist use? #1#1 a a = amount of 12% solution b b = amount of 20% solution 75 milliliters of 12% solution 225 milliliters of 20% solution

14 a a = amount of 30% solution b b = amount of 50% solution A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 Liters of a solution containing 42% insecticide. How much of each solution should be used? 0.42(200) = 84 #2#2 Amount of Solution Pure insecticide a b 200 0.3a0.5b 84 + = 30% solution 50% solution 42% solution

15 a a = amount of 30% solution b b = amount of 50% solution A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 Liters of a solution containing 42% insecticide. How much of each solution should be used? #2#2 120 milliliters of 50% solution 80 milliliters of 30% solution

16 #3#3 c c = amount of Columbian beans (lbs.). h h = amount of Hawaiian beans (lbs.) Amount of Beans (lbs.) Cost of Beans ($) c h100 1.50c3.50h 270 + = Columbian Hawaiian Christmas Blend Starbucks wants to make 100 pounds of their special Christmas blend and sell it for $2.70 per pound. They will mix Columbian beans that sell for $1.50 per pound and Hawaiian beans that cost $3.50 per pound. How many pounds of the Hawaiian beans will they need to order?

17 #3#3 c c = amount of Columbian beans (lbs.). h h = amount of Hawaiian beans (lbs.) 60 pounds of Hawaiian beans

18 First use a table, then write a systems of equations to solve each problem. 1. Jenny mixes a 30% saline solution with a 50% saline solution to make 800 milliliters of a 45% saline solution. How many milliliters of each solution does she use? 2. 3. A pharmacist wants to mix medicine that is 10% aspirin with a medicine that is 25% aspirin to make 10 grams of a medicine that is 16% aspirin. How many grams of each medicine should the pharmacist mix together? Peanuts cost $1.60 per pound and raisins cost $2.40 per pound. Brad wants to make 8 pounds of a mixture that costs $2.20 per pound. How many pounds of peanuts and raisins should he use?


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