A Conference Room is Equipped with a Total of 45 Metal or Wooden Chairs.

Question: A conference room is equipped with a total of 45 metal or wooden chairs. If there are a total of 14 reclining chairs and 20% of the metal chairs are reclining, but 10 of the reclining chairs are wooden, how many wooden chairs are non-reclining?

1. 31
2. 25
3. 15
4. 14
5. 10

“A conference room is equipped with a total of 45 metal or wooden chairs. If there are a total of 14 reclining chairs and 20% of the metal chairs are reclining, but 10 of the reclining chairs are wooden, how many wooden chairs are non-reclining?”– is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.0

Answer:

We are asked to find the total number of wood, non-reclining chairs (indicated by a star in the above table).

We can subtract 10 wood reclining chairs from the total of 14 reclining chairs to get 4 metal reclining chairs. Since 20% of the total metal chairs recline, the total number of metal chairs is 20:
.2M = 4
M = 20

We can now subtract 20 metal chairs from 45 total chairs to get 25 wood chairs:
45 – 20 = 25

And we can subtract the 10 wood reclining chairs from the 25 total wood chairs to get 15 wood, non-reclining chairs:
25 – 10 = 15

Correct option: C

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