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.
Find the ratio between the number of room heaters and the number of shoes?
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.
Find the ratio between the number of room heaters and the number of shoes?
- 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.
Find the ratio between the number of room heaters and the number of shoes?
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When calculating ratios from given data, always simplify the fraction to its lowest terms and match it with the closest option.
Updated On: Jun 5, 2025
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The Correct Option is A
Solution and Explanation
From previous data:
Number of room heaters = $ 698 + 100 = 798 $
Number of shoes = $ 14% \text{ of } 3300 = 0.14 \times 3300 = 462 $
Now calculate the ratio: $$ \text{Ratio of room heaters to shoes} = \frac{798}{462} $$ Simplify the fraction: $$ \frac{798}{462} = \frac{19}{11} \quad \text{(after dividing both numerator and denominator by 42)} $$ So, the required ratio is: $$ \boxed{\text{(A) 19:11}} $$
Number of room heaters = $ 698 + 100 = 798 $
Number of shoes = $ 14% \text{ of } 3300 = 0.14 \times 3300 = 462 $
Now calculate the ratio: $$ \text{Ratio of room heaters to shoes} = \frac{798}{462} $$ Simplify the fraction: $$ \frac{798}{462} = \frac{19}{11} \quad \text{(after dividing both numerator and denominator by 42)} $$ So, the required ratio is: $$ \boxed{\text{(A) 19:11}} $$
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