The table below shows the number of students who attend various after-school activities.

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{After-School Activities} \\
\hline Activity & Number of Students \\
\hline Spanish Club & 19 \\
\hline Basketball & 24 \\
\hline Drama & 15 \\
\hline Homework Help & 17 \\
\hline Soccer & 20 \\
\hline \hline
\end{tabular}

Which ratio compares the number of students in the Spanish club to the total number of students?

A. 19:95
B. 20:95
C. 95:24
D. 95:19



Answer :

To solve the problem, we need to determine the ratio of the number of students in the Spanish Club to the total number of students participating in all the listed after-school activities.

First, we need the total number of students participating in all activities. Let's sum up the number of students for each activity listed in the table:

1. Number of students in the Spanish Club: [tex]\(19\)[/tex]
2. Number of students in Basketball: [tex]\(24\)[/tex]
3. Number of students in Drama: [tex]\(15\)[/tex]
4. Number of students in Homework Help: [tex]\(17\)[/tex]
5. Number of students in Soccer: [tex]\(20\)[/tex]

Now, adding these numbers together:
[tex]\[ 19 + 24 + 15 + 17 + 20 = 95 \][/tex]

So, the total number of students in all activities is [tex]\(95\)[/tex].

Next, we want to find the ratio of the number of students in the Spanish Club to the total number of students. The number of students in the Spanish Club is [tex]\(19\)[/tex], and the total number of students is [tex]\(95\)[/tex]. Therefore, the ratio of students in the Spanish Club to the total number of students is:
[tex]\[ 19:95 \][/tex]

Thus, the correct ratio is [tex]\(19:95\)[/tex], which is listed among the options provided.