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1. In a packet of 40 Skittles, 12 of them are red. What percentage of Skittles are red?

2. Mr. Lane is conducting a survey. He surveys 32 students and finds out that [tex]$25 \%$[/tex] of the students surveyed have pets. What is the number of students with pets?

Answer :

Sure! Let's work through each question step-by-step:

Question 2: In a packet of 40 Skittles, 12 of them are red. What percentage of Skittles are red?

To find the percentage of Skittles that are red, we can use the following formula:

[tex]\[
\text{Percentage of red Skittles} = \left(\frac{\text{Number of red Skittles}}{\text{Total number of Skittles}}\right) \times 100
\][/tex]

- Step 1: Identify the number of red Skittles, which is 12.
- Step 2: Identify the total number of Skittles, which is 40.
- Step 3: Divide the number of red Skittles by the total number of Skittles: [tex]\( \frac{12}{40} = 0.3 \)[/tex].
- Step 4: Multiply that result by 100 to convert it to a percentage: [tex]\( 0.3 \times 100 = 30\% \)[/tex].

Therefore, 30% of the Skittles are red.

Question 3: Mr. Lane is conducting a survey. He surveys 32 students and finds out 25% of the students surveyed have pets. How many students have pets?

To find out how many students have pets, we can use this simple calculation:

[tex]\[
\text{Number of students with pets} = \text{Total number of students} \times \left(\frac{\text{Percentage of students with pets}}{100}\right)
\][/tex]

- Step 1: Identify the total number of students surveyed, which is 32.
- Step 2: Identify the percentage of students who have pets, which is 25%.
- Step 3: Convert the percentage into a decimal by dividing by 100: [tex]\( \frac{25}{100} = 0.25 \)[/tex].
- Step 4: Multiply this decimal by the total number of students surveyed: [tex]\( 32 \times 0.25 = 8 \)[/tex].

Therefore, 8 students have pets.

I hope this helps! If you have further questions, feel free to ask.

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