Sure, let's solve this step by step!
1. Determine the total number of exercise books:
- We know that 1 dozen equals 12 items.
- The booksellers purchase 50 dozen exercise books.
- Therefore, the total number of exercise books is [tex]\( 50 \times 12 = 600 \)[/tex].
2. Understand the ratio:
- The exercise books are divided between the two booksellers in the ratio of 5:7.
3. Calculate the total parts in the ratio:
- By adding the parts of the ratio, [tex]\( 5 + 7 = 12 \)[/tex].
4. Calculate the number of books each bookseller receives:
- To find out how many exercise books the first bookseller (who has 5 parts) receives:
[tex]\[
\text{Books for Seller 1} = \frac{5}{12} \times 600 = 250
\][/tex]
- To find out how many exercise books the second bookseller (who has 7 parts) receives:
[tex]\[
\text{Books for Seller 2} = \frac{7}{12} \times 600 = 350
\][/tex]
Therefore, each bookseller will receive the following number of exercise books:
- Seller 1 will receive 250 exercise books.
- Seller 2 will receive 350 exercise books.
