Question

there is only one freshman in the cast of a high school musical. there 6 sophomores and 11 juniors. one third of the cast are senior. how many seniors are in the musical

Answer 1

Answer: 9

Explanation:

There is only one freshman.

There are 6 sophomores.

There are 11 juniors.

One-third of the cast are seniors.

Let's break this down step by step:

We have:

Freshmen: 1 student

Sophomores: 6 students

Juniors: 11 students

Now, let's denote the number of seniors as "S." According to the information provided, one-third of the cast are seniors. So:

(1/3) * T = S

Now, let's add up the students from each grade:

1 (freshman) + 6 (sophomores) + 11 (juniors) + S (seniors) = T

We already know that T consists of 1/3 seniors. So, we can express T in terms of S:

T = 3S

Now, substitute this into the equation with the total number of students:

1 + 6 + 11 + S = 3S

Combine like terms:

18 + S = 3S

Now, subtract S from both sides:

18 = 2S

Finally, divide by 2 to find the number of seniors:

S = 18 / 2 = 9

So, there are 9 seniors in the high school musical cast.