Solving Ratio and Proportion Problems

The video tutorial explains how to solve ratio word problems using ratio boxes and equations. It begins with an example of a class ratio problem and demonstrates setting up ratio boxes. The tutorial then covers solving ratio problems using equations and provides an example of a proportion problem. Different methods, including cross multiplication, are used to solve for unknowns, emphasizing the flexibility of these techniques.

What is the initial ratio of boys to girls in the class?

• 3 to 4

• 2 to 3

• 4 to 3

• 3 to 2

How many girls are there in the class according to the problem?

• 12

• 9

• 18

• 15

What is the purpose of setting up a ratio box?

• To compare fractions

• To find averages

• To solve equations

• To organize data

What is the first step in setting up a ratio box?

• Solving equations

• Drawing a box

• Labeling columns

• Filling in numbers

In the ratio box, what do the columns represent?

• Ratios and actual numbers

• Equations and solutions

• Fractions and decimals

• Names and ages

How many boys are there if the ratio is maintained and there are 12 girls?

• 18

• 15

• 12

• 9

What mathematical operation is used in the cross multiplication method?

• Division

• Multiplication

• Subtraction

• Addition

Why is it beneficial to use ratio boxes frequently?

• They are time-consuming

• They are rarely used

• They simplify problem-solving

• They are complex

In the new proportion problem, what is the value of X if 28 = 6/x?

• 24

• 18

• 12

• 6

What is the vertical relationship used in solving the new problem?

• 2 * 3 = 6

• 8 * 3 = 24

• 6 * 4 = 24

• 2 * 4 = 8