Final answer:
The correct answer to the question is option b) 3:1, which represents the closest ratio of 6th graders to 5th graders based on the options provided, although the exact ratio is 11:7.
Step-by-step explanation:
The correct answer is option b) 3:1. To find the ratio of 6th graders to 5th graders, we simply divide the number of 6th graders by the number of 5th graders. In this case, there are eleven 6th graders and seven 5th graders, so the ratio is 11:7. However, none of the options provided in the question reflects this ratio.
If we look for an option that represents the comparison in simplest form, we can simplify 11:7 to approximately 1.57:1, but again, this exact value is not among the choices.
The closest option that presents a ratio of 6th graders to 5th graders is option b) 3:1, so we select it as the best representation for the context of this question even though it's not the precise answer.
It's important to note that the ratio expresses a relative relationship between two quantities, and in practice, it needs to be adjusted to available options when the exact comparison is not presented.
The correct answer is option c) 4:1. To find the ratio of 6th graders to 5th graders, we divide the number of 6th graders by the number of 5th graders. In this case, there are 11 6th graders and 7 5th graders. So the ratio is 11/7. To simplify the ratio, we can divide both numbers by their greatest common factor, which is 1.
The simplifed ratio is 11/7 = 4/1. This means that for every 4 6th graders, there is 1 5th grader participating in the baking competition.