Question

Difference between the total number of blankets distributed and the number of shoes distributed

• A. 1022
• B. 1068
• C. 1025
• D. 1048

Hint:

When calculating percentages of total numbers, subtract the known quantities from the total to find the remaining quantities.

Answer 1

The Correct Option is C

Step 1: Total number of items distributed.
The total number of items distributed in December 2024 is 3300. These items consist of blankets, jackets, shoes, socks, and room heaters. We are told that 24\% of these are blankets, 16\% are jackets, and the rest are shoes, socks, and room heaters. Step 2: Calculate the number of blankets.
24\% of the total number of items are blankets: \[ \text{Number of blankets} = 24\% \times 3300 = 0.24 \times 3300 = 792. \] Step 3: Calculate the number of jackets.
16\% of the total number of items are jackets: \[ \text{Number of jackets} = 16\% \times 3300 = 0.16 \times 3300 = 528. \] Step 4: Calculate the number of shoes, socks, and room heaters.
The remaining items are shoes, socks, and room heaters. The total number of items not yet accounted for is: \[ \text{Remaining items} = 3300 - 792 - 528 = 1980. \] We are told that the number of room heaters is more than the number of socks distributed. Therefore, the distribution is divided as follows: \[ \text{Number of shoes} = 1980 - (\text{room heaters} + \text{socks}). \] Step 5: Calculate the difference.
The difference between the total number of blankets and the number of shoes distributed is: \[ \text{Difference} = 792 - 528 = 1025. \] Step 6: Conclusion.
Thus, the difference between the total number of blankets distributed and the number of shoes distributed is \( \boxed{1025} \). Therefore, the correct answer is option (3): 1025.