There are 39 members on the Central High School student government council. When a vote took place on a certain proposal, all of the seniors and none of the freshmen voted for it. Some of the juniors and some of the sophomores voted for the proposal and some voted against it. If a simple majority of the votes cast is required for the proposal to be adopted, which of the following statements, if true, would enable you to determine whether the proposal was adopted? a. There are more seniors than freshmen on the council. b. A majority of the freshmen and a majority of the sophomores voted for the proposal. c. There are 18 seniors on the council. d. There are the same number of seniors and freshmen combined as there are sophomores and juniors combined. e. There are more juniors than sophomores and freshmen combined, and more than 90% of the juniors voted against the proposal.

Question

Joselyn Patel

Mathematics

1 June, 21:13

There are 39 members on the Central High School student government council. When a vote took place on a certain proposal, all of the seniors and none of the freshmen voted for it. Some of the juniors and some of the sophomores voted for the proposal and some voted against it. If a simple majority of the votes cast is required for the proposal to be adopted, which of the following statements, if true, would enable you to determine whether the proposal was adopted? a. There are more seniors than freshmen on the council. b. A majority of the freshmen and a majority of the sophomores voted for the proposal. c. There are 18 seniors on the council. d. There are the same number of seniors and freshmen combined as there are sophomores and juniors combined. e. There are more juniors than sophomores and freshmen combined, and more than 90% of the juniors voted against the proposal.

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Answers (1)

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Trinity Lyons · Answer 1

Option b.

Step-by-step explanation:

Statement b would be true in this case.

Let's gather data from the question:

student council = seniors + juniors

Now, some few things to note:

1. Senior students are in their 12th grade. This is the senior year in high school.

2. The sophomore is the 10th year in school. These are not senior year students.

Isolating the students, the sophomore + junior students are likely to be the majority here.

Some junior and sophomore students voted for the proposal so it means that the combined number will be: all senior students + some juniors + some sophomores.

Therefore, the majority of the freshmen and a majority of the sophomores voted for the proposal.