Ratios and proportions

Front

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

Back

50

Answer explanation

The ratio of tenants to cars is 3:5. With 30 tenants, we set up the proportion: 30/3 = x/5. Solving for x gives x = 30 * 5 / 3 = 50. Thus, there are 50 cars.

Front

What is a Ratio?

Back

Is a comparison of two quantities 

Answer explanation

A ratio is defined as a comparison of two quantities, which makes the first answer choice correct. The other options describe different concepts that do not accurately define a ratio.

Front

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

Back

18 minutes

Answer explanation

Jose swims 3 laps in 2 minutes, so he swims 1.5 laps per minute. To swim 27 laps, it takes 27 / 1.5 = 18 minutes. Thus, the correct answer is 18 minutes.

Front

Ratio of students who want hot dogs to those who want hamburgers?

Back

10:26

Answer explanation

To find the ratio of students wanting hot dogs to those wanting hamburgers, we compare 10 (hot dogs) to 26 (hamburgers). The ratio is 10:26, which simplifies to the correct answer.

Front

Ratio of female teachers to male teachers at Margo's School with 13 male and 5 female teachers.

Back

5:13

Answer explanation

To find the ratio of female teachers to male teachers, divide the number of female teachers (5) by the number of male teachers (13). This gives the ratio 5:13, which is the correct answer.

Front

What are the three ways to write a ratio?

Back

2:3 , 2 to 3 , 2/3

Answer explanation

The correct ways to write a ratio are 2:3, 2 to 3, and 2/3. The first uses a colon, the second uses the words 'to', and the third uses a slash. The other options contain incorrect formats.

Front

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

Back

5:11

Answer explanation

To find the ratio of pears to all fruit, first calculate the total fruit: 4 apples + 2 bananas + 5 pears = 11. The ratio of pears (5) to total fruit (11) is 5:11, which is the correct answer.

Front

A A A A A to A A A A A A A A A
What is the ratio of red A to blue A?
Is this a part to part or part to whole questions? 

Back

part to part

Answer explanation

The question asks for the ratio of red A to blue A, which compares two parts of a whole. This makes it a part to part question, as it focuses on the relationship between two specific categories rather than the whole set.

Front

Are the ratios 7 to 18 and 1 to 2 equivalent?

Back

No

Answer explanation

To determine if the ratios 7 to 18 and 1 to 2 are equivalent, we can cross-multiply: 7 * 2 = 14 and 1 * 18 = 18. Since 14 is not equal to 18, the ratios are not equivalent. Therefore, the answer is No.

Front

Are the ratios 10:20 and 1:2 equivalent?

Back

Yes

Answer explanation

Yes, the ratios 10:20 and 1:2 are equivalent because both can be simplified to the same fraction. Dividing both terms of 10:20 by 10 gives 1:2, confirming their equivalence.