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PSAT/NMSQT
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Residents Using Facilities Percentage

Hard Problem Solving And Data Analysis Percentages

A local apts community center is conducting a survey on the use of their facilities. They find that 60% of the residents have used at least one facility in the past month. Among those who used a facility, 25% used the gym, and 40% used the pool. The residents were asked how many used both the gym and the pool. If the total number of residents interviewed was 150, calculate the percentage of residents who used neither the gym nor the pool.

Let $x$ represent the number of residents who used both the gym and the pool.

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