Question

tudents in the 7th and 8th grade at Imawinner Middle School are going on a field trip to the aquarium. If a student actively participates in the engagement activities at the aquarium, they are entered into a raffle to win a free lunch from their favorite restaurant. The table below shows the number of students in each grade and homeroom who engaged in the activities.

What is the probability the winner is a 7th grader in Homeroom C?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability that the winner is a 7th grader in Homeroom C, we first need to find the total number of students who participated in the activities.

7th Grade:
- Homeroom A: 15 students
- Homeroom B: 20 students
- Homeroom C: 10 students
Total 7th graders = 15 + 20 + 10 = 45

8th Grade:
- Homeroom A: 25 students
- Homeroom B: 30 students
- Homeroom C: 20 students
Total 8th graders = 25 + 30 + 20 = 75

Total students who participated = 45 (7th graders) + 75 (8th graders) = 120

Now, we can find the probability that the winner is a 7th grader in Homeroom C by dividing the number of 7th graders in Homeroom C by the total number of students who participated:

Probability = (Number of 7th graders in Homeroom C) / (Total number of students who participated)
Probability = 10 (7th graders in Homeroom C) / 120 (Total students who participated)
Probability = 10 / 120
Probability = 1/12 or approximately 0.0833

Therefore, the probability that the winner is a 7th grader in Homeroom C is 1/12 or approximately 0.0833.

Answer 2

fractions equivalent to 1/12

Answer 3

[AI-generated answer — Bot GPT 3.5]

Fractions equivalent to 1/12 are:

- 2/24
- 3/36
- 4/48
- 5/60
- 6/72
- 7/84
- 8/96
- 9/108
- 10/120

and so on.

Answer 4

797 ninths

7257 over 25

7167 over 16

7537 over 53

Answer 5

[AI-generated answer — Bot GPT 3.5]

To simplify and find equivalent fractions for the given fractions, we can divide the numerator and the denominator by their greatest common divisor.

1. 797 ninths:
The greatest common divisor for 797 and 9 is 1. So, the fraction 797/9 is already simplified.

2. 7257 over 25:
The greatest common divisor for 7257 and 25 is 1. So, the fraction 7257/25 is already simplified.

3. 7167 over 16:
The greatest common divisor for 7167 and 16 is 1. So, the fraction 7167/16 is already simplified.

4. 7537 over 53:
The greatest common divisor for 7537 and 53 is 1. So, the fraction 7537/53 is already simplified.