#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

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


50 Liter50 Liter 20 Liter20 Liter 30 Liter30 Liter

AcidAcid WaterWater


QQQQ TTTTWWWWHHHH


AcidAcid WaterWater


QQQQ TTTTWWWWHHHH


40%40%Acid solutionAcid solution


AcidAcid WaterWater


QQQQ TTTTWWWWHHHH




AcidAcid WaterWater40%40%Acid solutionAcid solution





QQQQ TTTTWWWWHHHH


AcidAcid WaterWater40%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?


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



#1#1#1#1



Amount of Solution

Amount of alcohol

a b 300300

+ =

0.12x 0.20y

0.18(300) = 54

54

12%solution

20%solution

18%solution



#1#1#1#1



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



#1#1#1#1



a 75

b 22575 milliliters of 12% solution75 milliliters of 12% solution

225 milliliters of 20% solution225 milliliters of 20% 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#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





#2#2#2#2

a b 200

0.3a 0.5b 84 3a 5b 840

3a 3b 600

10 3

2b 240b 120a 80



#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?


100



#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?

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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