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At a club 30% of members use both pool and sauna, 40% of members who use pool do not use saunA. What percentage of the members use the pool?a.33%b.50%c.40%d.Cannot be determined

Question

At a club 30% of members use both pool and sauna, 40% of members who use pool do not use saunA. What percentage of the members use the pool?a.33%b.50%c.40%d.Cannot be determined

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Solution

Let's denote the total number of club members as 100% for simplicity.

  1. We know that 30% of members use both the pool and sauna.

  2. We also know that 40% of members who use the pool do not use the sauna. This means that 60% of the pool users also use the sauna.

  3. If we set the percentage of pool users as X, then 60% of X equals the percentage of members who use both the pool and sauna, which is 30%.

  4. Therefore, we can set up the equation 0.60X = 30.

  5. Solving for X gives us X = 30 / 0.60 = 50.

So, 50% of the members use the pool. The answer is (b) 50%.

This problem has been solved

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