In a town of 2400 adults, 72% have a smartphone and 55% have a two-wheeler. The bars push the two groups to opposite ends. At least how many adults have both?

Question

Accepted Answer

648. Together the groups make 72\% + 55\% = 127\%, so at least 127\% - 100\% = 27\% have both, and 27% of 2400 is 648. 1320 is 55% (the largest possible overlap), 672 is 28%, and 408 is 72\% - 55\% = 17\%.

In a town of 2400 adults, 72% have a smartphone and 55% have a two-wheeler. The bars push the two groups to opposite ends. At least how many adults have both?

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