Question 1

Question

A) Francis is making a pizza. She plans to use 1 can of olives and 1 package of pepperoni.
Assuming there are 20 olives in the can and 25 pepperonis in a package, write a ratio to
represent the quantity of olives to pepperonis. (1 point)

Answer 1

To find the ratio of olives to pepperonis, we need to compare the number of olives to the number of pepperonis.

Francis is using:

• 20 olives (from 1 can)
• 25 pepperonis (from 1 package)

The ratio of olives to pepperonis can be written as:

\[ \text{Ratio of olives to pepperonis} = \frac{20 \text{ olives}}{25 \text{ pepperonis}} \]

This can be simplified by dividing both the numerator and the denominator by 5:

\[ \frac{20 \div 5}{25 \div 5} = \frac{4}{5} \]

Therefore, the ratio of olives to pepperonis is 4:5.

Answer 2

Question 2
A)
Use the image to answer the question.
Identify the ratio of plain blue bugs to the total number of bugs.
(1 point) 10 Blue bugs 2 Orange bugs

Answer 3

To find the ratio of plain blue bugs to the total number of bugs, we first need to determine the total number of bugs.

From the information given:

• Number of plain blue bugs = 10
• Number of orange bugs = 2

Now, we calculate the total number of bugs:

Total number of bugs = Number of blue bugs + Number of orange bugs
Total number of bugs = 10 + 2 = 12

Next, we can write the ratio of plain blue bugs to the total number of bugs:

\[ \text{Ratio of plain blue bugs to total bugs} = \frac{10 \text{ blue bugs}}{12 \text{ total bugs}} \]

This can be simplified by dividing both the numerator and the denominator by 2:

\[ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} \]

Therefore, the ratio of plain blue bugs to the total number of bugs is 5:6.

Answer 4

Question 3
A) Give an example of an equivalent ratio to 7
5
Question 4
. (1 point)
A) Give an example of an equivalent ratio to 2:15. (1 point)
Question 5
A) Ruben and Claire are training to run a marathon in the spring. Ruben runs 16 miles over a
4-day period. Claire runs 12 miles over a 3-day period. Are they running at the same rate of
speed? Respond "1" for yes or "2" for no. (1 point)

Answer 5

Question 3
An equivalent ratio to \(7:5\) can be found by multiplying both parts of the ratio by the same number. For example, if we multiply both parts by 2, we get:

\[ 7 \times 2 : 5 \times 2 = 14:10 \]

So, an equivalent ratio to \(7:5\) is 14:10.

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Question 4
An equivalent ratio to \(2:15\) can be found in a similar way. If we multiply both parts by 3, we get:

\[ 2 \times 3 : 15 \times 3 = 6:45 \]

Therefore, an equivalent ratio to \(2:15\) is 6:45.

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Question 5
To determine if Ruben and Claire are running at the same rate, we can calculate their rates in miles per day.

For Ruben:

• Total miles = 16
• Total days = 4
• Rate = \( \frac{16 \text{ miles}}{4 \text{ days}} = 4 \text{ miles per day} \)

For Claire:

• Total miles = 12
• Total days = 3
• Rate = \( \frac{12 \text{ miles}}{3 \text{ days}} = 4 \text{ miles per day} \)

Both are running at 4 miles per day.

Since they are running at the same rate, the answer is 1 (yes).