Word Problems

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Mixture Problems

A chemist mixes a 10% detergent solution with a 20% detergent solution to make 500 milliliters of a 16% detergent solution. How much of the 20% solution did he use in his mixture?

#1

a = amount of 10% detergent

b = amount of 20% detergent0.16(500) = 80

Amount of Solution

Detergent

a b 500

0.1a 0.2b 80

+ =10%solution

20%solution

16%solution

Word Problems

a b 500

0.1a 0.2b 80

A chemist mixes a 10% detergent solution with a 20% detergent solution to make 500 milliliters of a 16% detergent solution. How much of the 20% solution did he use in his mixture?

#1

a = amount of 10% detergent

b = amount of 20% detergent

Word Problems

a b 500

0.1a 0.2b 80 a 2b 800

a b 500

b 300300 ml of the 20% solution

Word ProblemsStarbucks 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?

#2

Word ProblemsStarbucks 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?

c = amount of Columbian beans (lbs.).

h = amount of Hawaiian beans (lbs.)

#2

Word ProblemsStarbucks 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?

c = amount of Columbian beans (lbs.).

h = amount of Hawaiian beans (lbs.)

Amount (lbs)

Cost ($)

c h 100

+ = Christmasblend

Columbian Hawaiian

#2

Word ProblemsStarbucks 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?

c = amount of Columbian beans (lbs.).

h = amount of Hawaiian beans (lbs.)

$1.50c $3.50h $270

2.70(100) = 270

#2

Word ProblemsStarbucks 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?

c = amount of Columbian beans (lbs.).

h = amount of Hawaiian beans (lbs.)

Amount (lbs)

Cost ($)

c h 100

1.5c 3.5h 270

+ = Christmasblend

Columbian Hawaiian

$1.50c $3.50h $270

c h 100

1.5c 3.5h 270

#2

Word ProblemsStarbucks 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?

c = amount of Columbian beans (lbs.).

h = amount of Hawaiian beans (lbs.)

1.5c 3.5h 270

20h 120060 pounds of Hawaiian beans

c h 100

15c 35h 2700

15c 15h 1500

h 60

#2