Ratios and Equations in Word Problems

This lesson covers the transition from ratio tables to equations, emphasizing the use of ratios in problem-solving. It includes practical applications like mixing paint and solving complex ratio problems. The lesson concludes with a summary of key concepts and real-life applications.

What is the basic structure of an equation?

• A statement with no equal sign

• A statement with only numbers

• A statement with a left side, a right side, and an equal sign in between

• A statement with variables only

If Ian mixes 1 gallon of red paint with 3 gallons of yellow paint, what is the ratio of red to yellow?

• 1:2

• 3:1

• 1:3

• 2:1

How many gallons of yellow paint are needed if you have 5 gallons of red paint?

• 15 gallons

• 10 gallons

• 20 gallons

• 25 gallons

In the purple paint mixing problem, what is the ratio of red to blue paint?

• 3:2

• 2:3

• 4:1

• 1:4

What is the equation to find the total amount of paint if you know the amount of blue paint?

• Total = Blue / 5

• Total = Blue + 5

• Total = Blue * 5

• Total = Blue * 4

In the US Air Force exercise, what is the ratio of men to women?

• 3:2

• 2:3

• 6:1

• 1:6

If Jose sees 18 cars and 6 trucks, what is the simplified ratio of cars to trucks?

• 1:3

• 3:1

• 1:2

• 2:1

How do you calculate the number of cars if you know the number of trucks?

• Cars = Trucks - 3

• Cars = Trucks / 3

• Cars = Trucks + 3

• Cars = Trucks * 3

What is the value of the ratio of minutes walking to minutes running in Martin's training?

• 5/1

• 4/1

• 1/5

• 1/4

How do you calculate the number of minutes spent walking if you know the minutes spent running?

• Walking = Running - 5

• Walking = Running + 5

• Walking = Running / 5

• Walking = Running * 5