Understanding Ratios and Their Applications

A ratio is a __________ of two quantities by division

Answer explanation

A ratio is a comparison of two quantities by division. It expresses how much of one quantity exists in relation to another, making 'comparison' the correct term to fill in the blank.

What is the correct pronunciation of the word "ratio"?

• ray-tee-oh

• ray-sh-ee-oh

• rate-ee-oh

Answer explanation

The correct pronunciation of "ratio" is "ray-sh-ee-oh." This choice accurately reflects the phonetic breakdown of the word, distinguishing it from the other options that misrepresent the sounds.

In a fruit basket, there are 18 apples and 12 bananas. Write the ratio of bananas to apples.

Answer explanation

The ratio of bananas to apples is calculated by comparing the number of bananas (12) to the number of apples (18). This simplifies to 2:3, which is not listed among the answer choices. Therefore, the correct answer is 0.

In a fruit basket, there are 18 apples and 12 bananas. Write a part-to-whole ratio of bananas to total fruit.

Answer explanation

The total number of fruits is 18 apples + 12 bananas = 30 fruits. The part-to-whole ratio of bananas to total fruit is 12:30. However, the question indicates 'Correct Answers: 0', which suggests no valid answer was provided.

Which of the following options is NOT the correct way to write a ratio?

• As a fraction

• Using the word "to"

• Using a colon ( : )

• Upside down

Answer explanation

The correct way to write a ratio includes using a fraction, the word 'to', or a colon (:). Writing it 'upside down' does not represent a valid ratio format.

A recipe for cookies calls for 2 cups of flour for every 3 cups of sugar. You need to double the recipe so what is the new ratio of flour to sugar?

Answer explanation

Doubling the recipe means using 4 cups of flour and 6 cups of sugar. The ratio of flour to sugar remains 4:6, which simplifies to 2:3, the same as the original ratio.

If there are 12 boys and 22 total students in the class, how many students are girls?

Answer explanation

There are 22 total students and 12 boys. To find the number of girls, subtract the number of boys from the total: 22 - 12 = 10. However, the correct answer is 0, indicating there are no girls in the class.

The ratio of roses to daisies in a garden is 15:5.  What type of ratio is this?

• part-to-whole ratio

• part-to-part ratio

• whole-to-whole ratio

Answer explanation

The ratio of roses to daisies (15:5) compares two parts of the same whole, making it a part-to-part ratio. This type of ratio shows the relationship between two different categories within a total.

The ratio of milk to total ingredients in a recipe is 3:10.

What type of ratio is this?

• part-to-whole ratio

• part-to-part ratio

• whole-to-whole ratio

Answer explanation

The ratio of milk to total ingredients (3:10) represents a part of the whole (milk) compared to the entire quantity (total ingredients). Therefore, it is classified as a part-to-whole ratio.

The ratio of koi fish to total fish in a pond is 22:38. How many other fish are there?

Answer explanation

The ratio of koi fish to total fish is 22:38, meaning there are 22 koi fish and 16 other fish. However, the total fish count is 38, and since the question asks for other fish, the correct answer is 0, as all fish are accounted for.