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.
The number of socks distributed is approximately what percent of the total number of shoes and room heaters put together?

• A. 59
• B. 63
• C. 55
• D. 51

Hint:

When calculating percentages from a distribution, always ensure you are comparing the correct quantities. Use approximations carefully to match the closest given option.

Answer 1

The Correct Option is C

From the previous problem, we have the following values: Socks: $S = 698$
Shoes: $\text{Shoes} = 462$
Room Heaters: $\text{Room Heaters} = S + 100 = 698 + 100 = 798$ Now, calculate the total number of shoes and room heaters: \[ \text{Total of Shoes and Room Heaters} = \text{Shoes} + \text{Room Heaters} = 462 + 798 = 1260 \] Next, determine what percent the number of socks is of this total: \[ \text{Percentage} = \left(\frac{\text{Number of Socks}}{\text{Total of Shoes and Room Heaters}}\right) \times 100 \] Substitute the known values: \[ \text{Percentage} = \left(\frac{698}{1260}\right) \times 100 \] Calculate the fraction: \[ \frac{698}{1260} \approx 0.554 \] Convert to percentage: \[ 0.554 \times 100 \approx 55.4% \] Rounding to the nearest whole number: \[ \Rightarrow \boxed{\text{(C) } 55} \]