To solve this problem step-by-step, let's break it down into smaller parts:
1. Determine the total number of catalogs to be mailed:
The business is sending 500 catalogs.
2. Find out how many stamps are required per catalog:
Each catalog needs 4 stamps to be mailed.
3. Calculate the total number of stamps needed:
[tex]\[
\text{Total stamps needed} = \text{Number of catalogs} \times \text{Stamps per catalog}
\][/tex]
[tex]\[
\text{Total stamps needed} = 500 \times 4 = 2000
\][/tex]
4. Determine how many stamps are in one book of stamps:
Each book contains 20 stamps.
5. Calculate the number of books of stamps required:
[tex]\[
\text{Books of stamps needed} = \frac{\text{Total stamps needed}}{\text{Stamps per book}}
\][/tex]
[tex]\[
\text{Books of stamps needed} = \frac{2000}{20} = 100
\][/tex]
Thus, the business would need to purchase 100 books of stamps to mail all 500 catalogs. The correct answer is (C) 100.
