3.3 Equivalent Ratio Tables - Missing Values

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, you can use cross-multiplication or set up a proportion based on the known values.

Front

What is the ratio of red paint to yellow paint if Kevin mixes 3 oz of red with 5 oz of yellow?

Back

The ratio of red paint to yellow paint is 3:5.

Front

If Kevin uses 9 oz of red paint, how much yellow paint is needed to maintain the same ratio?

Back

To maintain the ratio of 3:5, Kevin needs 15 oz of yellow paint when using 9 oz of red paint.

Front

What is the formula for finding equivalent ratios?

Back

The formula for finding equivalent ratios is a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

How can you express the ratio of pencils in boxes?

Back

The ratio of pencils in boxes can be expressed as the number of pencils per box, which can be calculated by dividing the total number of pencils by the number of boxes.

Front

If there are 12 pencils in one box, how many pencils are in 8 boxes?

Back

If there are 12 pencils in one box, then in 8 boxes there will be 96 pencils (12 pencils/box * 8 boxes = 96 pencils).

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal to each other.

Front

How do you solve for a variable in a ratio table?

Back

To solve for a variable in a ratio table, set up an equation based on the known ratios and solve for the unknown variable.

Front

What is the missing value if the ratio is 4:6 and one value is 12?

Back

If the ratio is 4:6 and one value is 12, the missing value can be found by setting up a proportion: 4/6 = 12/x, which gives x = 18.