Review Percent: Tape Diagrams & Double Number Line

A tape diagram is a visual representation used to illustrate the relationship between quantities, often used in solving problems involving ratios, fractions, and percentages.

A double number line is a visual tool that shows two related quantities along two parallel lines, helping to illustrate the relationship between them, especially in percentage problems.

The formula to calculate the percentage of a number is: $$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$$ .

To find the amount of a discount, multiply the original price by the discount percentage: $$\text{Discount Amount} = \text{Original Price} \times \frac{\text{Discount Percentage}}{100}$$ .

The amount of markdown is $29.75.

The new price is calculated by subtracting the discount amount from the original price: $$\text{New Price} = \text{Original Price} - \text{Discount Amount}$$ .

100% of a quantity is the whole amount of that quantity.

100% is 50 ounces.

To calculate the percentage increase, use the formula: $$\text{Percentage Increase} = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100$$ .

The percentage increase is 40%.