Ratios and proportions

Front

What is the ratio of red apples to green apples?

Back

4 red apples to 3 green apples

Answer explanation

The correct ratio of red apples to green apples is 4 red apples to 3 green apples, as stated in the answer choice. This clearly indicates the relationship between the two types of apples.

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. Therefore, there are 50 cars.

Front

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

Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.

Back

5:7

Answer explanation

To find the ratio of Ella's balloons to Taylor's, we compare their amounts: Ella has 5 balloons and Taylor has 7. The ratio is written as 5:7, indicating Ella's balloons to Taylor's balloons. Thus, the correct answer is 5:7.

Front

Ratio of students who want hotdogs 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 (13 male, 5 female)

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

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

Back

3:10

Answer explanation

Patrick has 2 black, 3 red, and 5 white toy cars, totaling 10 cars. The ratio of red cars (3) to all cars (10) is 3:10, making the correct answer 3:10.

Front

Ratio of pears to all fruit in a bowl with 4 apples, 2 bananas, and 5 pears.

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.