A catalog weighs enough that it requires 4 stamps for the post office to mail it. If a business is sending 500 catalogs, and each book of stamps has 20 stamps in it, how many books of stamps would the business need to purchase to mail all the catalogs?

A. 24
B. 80
C. 100
D. 2,000



Answer :

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.