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.
