#1#1 #2#2 An artist mixes 24 gallons of blue paint with 136 gallons of yellow paint to make a custom...
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Transcript of #1#1 #2#2 An artist mixes 24 gallons of blue paint with 136 gallons of yellow paint to make a custom...
![Page 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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/1.jpg)
a b 300
0.12a 0.20b 54
#1#1#1#1
#2#2#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?
![Page 2: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/2.jpg)
20a 20b 6000 12a 20b 5400
a b 300
0.12a 0.20b 54
#1#1#1#1
100 20
8a 600a 75b 225
![Page 3: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/3.jpg)
#2#2#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?
Total paint in the mixture: 24 136 160 gal.
Percent of blue in mixture:24160
0.15
15%15%
![Page 4: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/4.jpg)
Mixture ProblemsMixture Problems
![Page 5: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/5.jpg)
Mixture ProblemsMixture Problems
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
AcidAcid WaterWater
![Page 6: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/6.jpg)
Mixture ProblemsMixture Problems
QQQQ TTTTWWWWHHHH
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
AcidAcid WaterWater
![Page 7: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/7.jpg)
Mixture ProblemsMixture Problems
QQQQ TTTTWWWWHHHH
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
AcidAcid WaterWater
![Page 8: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/8.jpg)
Mixture ProblemsMixture Problems
QQQQ TTTTWWWWHHHH
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
AcidAcid WaterWater40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
![Page 9: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/9.jpg)
Mixture ProblemsMixture Problems
QQQQ TTTTWWWWHHHH
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
AcidAcid WaterWater40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
40%40%Acid solutionAcid solution
0.4 20 0.4 30
8 12
![Page 10: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/10.jpg)
aa = amount of 12% solution
bb = 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?
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#1#1
![Page 11: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/11.jpg)
a b 300
0.12a 0.20b 54
Amount of Solution
Amount of alcohol
a b 300300
+ =
0.12a 0.20b
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?
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#1#1
aa = amount of 12% solution
bb = amount of 20% solution
![Page 12: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/12.jpg)
Amount of Solution
Amount of alcohol
a b 300300
+ =
0.12x 0.20y
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?
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#1#1
aa = amount of 12% solution
bb = amount of 20% solution
a b 300
0.12a 0.20b 54
a 75
b 225
![Page 13: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/13.jpg)
Amount of Solution
Amount of alcohol
a b 300300
+ =
0.12x 0.20y
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?
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#1#1
aa = amount of 12% solution
bb = amount of 20% solution
a 75
b 22575 milliliters of 12% solution75 milliliters of 12% solution
225 milliliters of 20% solution225 milliliters of 20% solution
![Page 14: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/14.jpg)
aa = amount of 30% solution
bb = 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?
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#2#2
Amount of Solution
Pureinsecticid
e
a b 200200
0.3a 0.5b 84
+ =30%solution
50%solution
42%solution
a b 200 0.3a 0.5b 84
![Page 15: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/15.jpg)
aa = amount of 30% solution
bb = 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?
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#2#2
a b 200
0.3a 0.5b 84 3a 5b 840
3a 3b 600
10 3
2b 240b 120a 80
120 milliliters of 50% solution120 milliliters of 50% solution
80 milliliters of 30% solution80 milliliters of 30% solution
![Page 16: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/16.jpg)
#3#3#3#3
c c = amount of Columbian beans (lbs.).
hh = amount of Hawaiian beans (lbs.)
Amount of Beans (lbs.)
Cost ofBeans ($)
c h 100100
1.50c 3.50h 270
+ =Columbian Hawaiian ChristmasBlend
c h 100
1.50c 3.50h 270
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?
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?
![Page 17: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/17.jpg)
100
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?
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?
#3#3#3#3
c c = amount of Columbian beans (lbs.).
hh = amount of Hawaiian beans (lbs.)
c h 100
1.50c 3.50h 270 150c 350h 27000 150 150c 150h 15000
200h 12000h 60c 40
60 pounds of Hawaiian beans60 pounds of Hawaiian beans
![Page 18: #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.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551c313b550346a84f8b6387/html5/thumbnails/18.jpg)
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?