Ratios & Rates

In a quiz competition, Emma answered 7 questions correctly out of 9 attempts. She then answered the next two questions correctly. She thought that because she added 2 to both the total questions and her correct responses, that the ratio of correct answers to total questions remained the same. Is she correct? Justify your response.

• Yes. Any time you add the same number to both numbers in a ratio, it remains the same.

• Yes. 7:9 is an equivalent ratio to 9:11.

• No.

• No. 7:9 and the new ratio of 9:11 are not equivalent.

Mr. Johnson is buying pastries for his team. Each box contains 5 croissants, 3 muffins, and 2 danishes. If there were 15 total muffins, how many danishes did he buy?

• 10

• 15

• 5

• 2

In a class of 35 students, 5 students walk to school. What is the ratio of students who walk to school to the number of students who do not walk to school?

• 5:35

• 5:30

• 1:7

• 30:5

Liam's ice cream machine makes 4 ice creams from 0.4 pound of ice. How many ice creams can be made with 6 pounds of ice?

• 6

• 60

• 15

• 24

A recipe for homemade dough requires 4 cups of water for every 8 cups of flour. How many cups of water are needed when 6 cups of flour are used?

• 2

• 3

• 4

• 6

A stationery shop is selling bundles of 5 notebooks and 2 pens for the new semester. The shop owner wants to create a bigger bundle maintaining the same ratio. If the bigger bundle contains 10 pens, how many notebooks are in the bigger bundle?

• 15

• 20

• 25

• 30

Two students are making photo albums. John puts 5 photos on a page and Jack puts 7 photos on a page. What is John's ratio of photos to pages?

• 5:7

• 7:5

• 1:5

• 5:1

Why is graphing beneficial when dealing with problems related to ratios?

• Graphing helps in identifying patterns, making predictions, and comparing relationships faster than other methods.

• No benefits.

A green sea turtle can swim 9 meters every second on average. What would be the expected distance a green sea turtle can swim in two minutes?

• 1,080 meters

• 108 meters

• 10.8 meters

• 10,800 meters

A study revealed that 3 out of 4 students have a laptop. Based on this result, how many of the 600 students in a school have a laptop?

• 3

• 75

• 450

• 480