Question

An international NGO for homeless people has supplied certain items for ongoing winters to new shelters for homeless people. These consist of different items like blankets, jackets, shoes, socks, and room heaters. The total number of five items distributed in December 2024 was 3300.
- 24% of all items were blankets.
- $\frac{1}{6}$ of all items were jackets.
- 14% of all items were shoes.
- Remaining items were either socks or room heaters.
- The number of room heaters distributed was 100 more than the number of socks distributed.
What is the total number of jackets, shoes, and room heaters distributed?

• A. 1810
• B. 1834
• C. 1850
• D. 1814

Hint:

In distribution problems, always cross-check totals to ensure they add up correctly across all categories. Use previously calculated values where applicable to save time.

Answer 1

The Correct Option is A

From previous data:
Total items distributed = 3300
Jackets: $ \frac{1}{6} \times 3300 = 550 $
Shoes: $ 14% \times 3300 = 0.14 \times 3300 = 462 $
Socks and Room Heaters:
Socks = 698
Room Heaters = 698 + 100 = 798
Now calculate the total number of jackets, shoes, and room heaters: $$ \text{Total} = \text{Jackets} + \text{Shoes} + \text{Room Heaters} $$ $$ \text{Total} = 550 + 462 + 798 = 1810 $$ $$ \Rightarrow \boxed{\text{(A) 1810}} $$