Ratio Problem Solving

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you solve a ratio problem using a tape diagram?

Back

A tape diagram visually represents the parts of a ratio, allowing you to see the relationship between the quantities and solve for unknowns by scaling the diagram.

Front

What is the formula to calculate points earned based on boxes sold in a fundraiser?

Back

Points earned = (Number of boxes sold / Boxes per points) * Points earned per boxes.

Front

How do you use equivalent fractions to solve ratio problems?

Back

You can set up a proportion using equivalent fractions to find an unknown quantity in a ratio by cross-multiplying.

Front

What is the cost per sheet if 6 sheets of sheetrock cost $10?

Back

Cost per sheet = Total cost / Number of sheets = $10 / 6 sheets = $1.67 per sheet.

Front

How do you calculate the total cost for a different number of sheets based on a known cost?

Back

Total cost = (Cost per sheet) * (Number of sheets purchased).

Front

What is the ratio of empty spaces to filled spaces in a parking lot?

Back

The ratio of empty spaces to filled spaces is calculated by dividing the number of empty spaces by the number of filled spaces.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

How can you represent ratios using a double number line?

Back

A double number line shows two related quantities along parallel lines, allowing you to visualize the relationship and find equivalent values.