Question

the table below shows the numbers of juniors and seniors in band and choir at a high school.
high school music enrollment
\t\tjuniors\tseniors
band\t20\t58
choir\t41\t61
the principal will choose one person from band or choir to perform a solo. which statement below is correct based on the information in the table?
(a) if a choir student is chosen, it is about twice as likely that the student will be a senior than a junior.
(b) if a choir student is chosen, it is about three times as likely that the student will be a senior than a junior.
(c) if a band student is chosen, it is about twice as likely that the student will be a senior than a junior.
(d) if a band student is chosen, it is about three times as likely that the student will be a senior than a junior.

Explanation:

Step1: Analyze Choir Students

First, find the number of junior and senior choir students. Juniors in choir: 41, Seniors in choir: 61. Calculate the ratio of seniors to juniors: $\frac{61}{41} \approx 1.49$, not about twice or three times. So options a and b are incorrect.

Step2: Analyze Band Students

Next, find the number of junior and senior band students. Juniors in band: 20, Seniors in band: 58. Calculate the ratio of seniors to juniors: $\frac{58}{20} = 2.9 \approx 3$. So it's about three times as likely a band student is a senior than a junior.

Answer:

d. If a band student is chosen, it is about three times as likely that the student will be a senior than a junior.