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To solve this problem, we will calculate the total number of books read by both the girls and boys separately, and then add the totals together.

### Given:
- Number of girls = 11
- Mean number of books read by the girls = 8
- Number of boys = 7
- Mean number of books read by the boys = 4

### Step 1: Total number of books read by the girls
The total number of books read by the girls is calculated by multiplying the number of girls by the mean number of books they read:

\[
\text{Total books by girls} = 11 \times 8 = 88
\]

### Step 2: Total number of books read by the boys
Similarly, the total number of books read by the boys is:

\[
\text{Total books by boys} = 7 \times 4 = 28
\]

### Step 3: Total number of books read by the entire youth group
The total number of books read by both the girls and the boys is the sum of the two totals:

\[
\text{Total books} = 88 + 28 = 116
\]

Thus, the **total number of books read by the youth group** last year is **116**.

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Would you like more details or have any questions? 

Here are five follow-up questions related to this topic:
1. How would the total change if the mean number of books read by the boys increased to 6?
2. What if the number of girls in the group changed to 12 while keeping everything else the same?
3. How would you calculate the overall mean number of books read by all youth members?
4. What is the significance of using the mean in this context?
5. How would the calculation change if two new boys joined the group but the mean for the boys stayed the same?

**Tip**: When working with means, multiplying the mean by the number of individuals gives the total sum for that group.

A youth group is made up of exactly 11 girls and 7 boys. Each member of the youth group recorded the number of books that they read last year. The mean number of books read by the girls was 8. The mean number of books read by the boys was 4. What was the total number of books read by the youth group members last year?

Learn how to calculate the total number of books read by a youth group composed of 11 girls and 7 boys. Each group's mean number of books read is used to find the total books read. This problem is suitable for students in Grades 5-7, involving basic multiplication and addition.

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