Consider the table given below and answer the following questions given below.…

Concept: To split a total value in a given ratio, add the ratio's terms to get the total number of parts, divide the total by that sum to find the value of one part, then multiply by the number of parts needed. Averaging two such quantities means adding them and dividing by 2.

Application:

1. For publisher F: total books published = 35700, and the Academic : Non-Academic ratio = 11 : 6, so the number of ratio parts = 11 + 6 = 17.

2. Value of one part for F = 35700 ÷ 17 = 2100.

3. Non-academic books published by F = 6 × 2100 = 12600.

4. For publisher G: total books published = 37800, and the Academic : Non-Academic ratio = 5 : 13, so the number of ratio parts = 5 + 13 = 18.

5. Value of one part for G = 37800 ÷ 18 = 2100.

6. Non-academic books published by G = 13 × 2100 = 27300.

7. Average of the non-academic books published by F and G = (12600 + 27300) ÷ 2 = 39900 ÷ 2 = 19950.

Cross-check: Verify each split adds back to its publisher's total: Academic books for F = 11 × 2100 = 23100, and 23100 + 12600 = 35700, which matches F's published-books figure; Academic books for G = 5 × 2100 = 10500, and 10500 + 27300 = 37800, which matches G's published-books figure. Both splits are consistent, confirming the non-academic figures used above.

Answer: The average number of non-academic books published by F and G is 19950.