#1#1 #2#2 an artist mixes 24 gallons of blue paint with 136 gallons of yellow paint to make a custom...
TRANSCRIPT
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?
20a 20b 6000 12a 20b 5400
a b 300
0.12a 0.20b 54
#1#1#1#1
100 20
8a 600a 75b 225
#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%
Mixture ProblemsMixture Problems
Mixture ProblemsMixture Problems
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
AcidAcid WaterWater
Mixture ProblemsMixture Problems
QQQQ TTTTWWWWHHHH
50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter
AcidAcid WaterWater
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
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
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
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
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
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
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
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
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
#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?
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
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?