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 there is compared to another part.

Front

How do you find the total amount in a part-part-whole ratio?

Back

To find the total amount, add the two parts together. For example, if the ratio of red to yellow paint is 3:2, the total is 3 + 2 = 5 parts.

Front

If the ratio of cats to dogs is 4:5 and there are 27 animals total, how do you find the number of cats?

Back

First, find the total parts: 4 + 5 = 9. Then, divide the total number of animals (27) by the total parts (9) to find the value of each part: 27 ÷ 9 = 3. Multiply the number of parts for cats (4) by the value of each part: 4 × 3 = 12 cats.

Front

What is the value of each part in a ratio of 4:5 with a total of 27 animals?

Back

The value of each part is 3, calculated by dividing the total number of animals (27) by the total parts (9).

Front

How do you calculate earnings based on hours worked?

Back

To calculate earnings, find the hourly rate by dividing total earnings by total hours worked. For example, if a cashier earns $58 for 8 hours, the hourly rate is $58 ÷ 8 = $7.25. Then multiply the hourly rate by the number of hours worked.

Front

If a cashier earns $7.25 per hour, how much does she earn for 3 hours?

Back

She earns $21.75, calculated by multiplying the hourly rate ($7.25) by the number of hours (3): $7.25 × 3 = $21.75.

Front

What does a tape diagram represent in ratios?

Back

A tape diagram visually represents the parts of a ratio, showing the relationship between different quantities.

Front

In a ratio of 4:5, what does the '4' represent?

Back

The '4' represents the number of cats in the ratio of cats to dogs.

Front

In a ratio of 4:5, what does the '5' represent?

Back

The '5' represents the number of dogs in the ratio of cats to dogs.

Front

How can you use a double number line to solve ratio problems?

Back

A double number line shows two related quantities side by side, allowing you to see the relationship and calculate values based on the ratios.