Grade 6 | Unit 2 | Lesson 15: Part-Part-Whole Ratios | Practice Problems

Front

What is a part-part-whole ratio?

Back

A part-part-whole ratio compares two parts of a whole to each other, showing how much of one part exists compared to another part.

Front

If a cashier earns $58.00 for an 8-hour day, how do you calculate her hourly wage?

Back

Divide the total earnings by the total hours worked: $58.00 ÷ 8 hours = $7.25 per hour.

Front

In a ratio of 4:5, what do the numbers represent?

Back

The numbers represent the relative sizes of two quantities; in this case, for every 4 cats, there are 5 dogs.

Front

How do you find the total number of items when given a ratio and the total count?

Back

Add the parts of the ratio together and then use that sum to find the value of each part based on the total count.

Front

What is the ratio of yellow paint to red paint if the ratio of red to yellow is 3:2?

Back

The ratio of yellow to red is the inverse of the original ratio, which is 2:3.

Front

If there are 27 animals in total and the ratio of cats to dogs is 4:5, how many cats are there?

Back

There are 12 cats. (4 parts of cats out of a total of 9 parts: 27 ÷ 9 = 3; 4 parts × 3 = 12 cats.)

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities along two parallel lines, helping to illustrate ratios and relationships.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first number as the numerator and the second number as the denominator.

Front

If a mixture has a ratio of 2:3 for yellow to red paint, how many total parts are in the mixture?

Back

There are 5 total parts in the mixture (2 parts yellow + 3 parts red = 5 parts).

Front

What is the first step in solving a part-part-whole ratio problem?

Back

Identify the parts of the ratio and the total amount to determine the value of each part.