Algebra Word Problem Mixture Problems

The video tutorial covers solving mixture problems involving percentages and costs. It begins with an introduction to mixture problems, followed by detailed examples including cream and milk, gold alloys, coffee, and nut mixtures. Each example demonstrates setting up equations based on the problem's context, such as fat content or cost per pound, and solving for unknowns using algebraic methods.

What is the main concept behind mixture problems?

• Mixing two substances to achieve a desired volume

• Mixing two substances with different percentages to achieve a desired mixture

• Mixing two substances to achieve a desired temperature

• Mixing two substances to achieve a desired color

In the cream and milk problem, what is the fat percentage of the final mixture?

• 14%

• 10%

• 5%

• 20%

How many gallons of cream are needed in the cream and milk problem?

• 8 gallons

• 6 gallons

• 4 gallons

• 10 gallons

In the gold alloy problem, what is the desired percentage of gold in the final mixture?

• 80%

• 90%

• 70%

• 60%

How many ounces of the 80% gold alloy are needed in the gold alloy problem?

• 20 ounces

• 30 ounces

• 50 ounces

• 40 ounces

In the coffee mixture problem, what is the cost per pound of the final coffee mixture?

• $1.25

• $1.00

• $0.75

• $1.50

How many pounds of each type of coffee are used in the coffee mixture problem?

• 1 pound of each

• 2 pounds of each

• 4 pounds of each

• 3 pounds of each

In the cashews and peanuts problem, what is the cost per pound of the final nut mixture?

• $3.00

• $2.50

• $4.00

• $3.40

How many pounds of cashews are needed in the cashews and peanuts problem?

• 6 pounds

• 12 pounds

• 8 pounds

• 10 pounds

How many pounds of peanuts are needed in the cashews and peanuts problem?

• 16 pounds

• 14 pounds

• 12 pounds

• 10 pounds