Olivia, Felicity and Jenson own a total of 77 books. Olivia owns $\frac{3}{11}$ of the books and Felicity owns $\frac{2}{7}$ of the books. We need to find how many books Jenson owns.

1. Problem Description

Olivia, Felicity and Jenson own a total of 77 books. Olivia owns $\frac{3}{11}$ of the books and Felicity owns $\frac{2}{7}$ of the books. We need to find how many books Jenson owns.

2. Solution Steps

First, we need to find out how many books Olivia owns.

Olivia owns $\frac{3}{11}$ of the 77 books. So, we calculate $\frac{3}{11} \times 77$:

$\frac{3}{11} \times 77 = \frac{3 \times 77}{11} = \frac{3 \times 7 \times 11}{11} = 3 \times 7 = 21$

Olivia owns 21 books.

Next, we need to find out how many books Felicity owns.

Felicity owns $\frac{2}{7}$ of the 77 books. So, we calculate $\frac{2}{7} \times 77$:

$\frac{2}{7} \times 77 = \frac{2 \times 77}{7} = \frac{2 \times 11 \times 7}{7} = 2 \times 11 = 22$

Felicity owns 22 books.

Now we know Olivia owns 21 books and Felicity owns 22 books.

The total number of books owned by Olivia and Felicity is $21 + 22 = 43$.

Since the total number of books is 77, Jenson owns the remaining books.

Jenson owns $77 - 43 = 34$ books.

3. Final Answer

Jenson owns 34 books.