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?​

Answer 1

Answer:

i think the answer is 70%

Step-by-step explanation:

Answer 2

Given,

The percentage of members that use both pool and sauna$\[ = 30\% \]$

The percentage of members that use both pool and sauna$\[ = 40\% \]$

To find,

The percentage of the members that use the pool.

Solution,

Assume that the total number of members is y and the number of people using the pool is x.

Understand that the number of people using the pool is equal to the number of members-only using the pool plus the number of members using both.

Therefore,

$\[\begin{array}{l} \Rightarrow x = 0.4x + 0.3y\\ \Rightarrow x - 0.4x = 0.3y\\ \Rightarrow 0.6x = 0.3y\end{array}\]$

Solve further,

$\[\begin{array}{l} \Rightarrow x = \frac{{0.3}}{{0.6}}y\\ \Rightarrow x = \frac{y}{2}\end{array}\]$

Hence, the percentage of the members that use the pool is $\[ 50 \]$.