A survey of 900 households revealed that 200 had only a TV, 300 had only a computer, and 100 had neither a TV nor a computer. How many households have both a TV and a computer? households have both a TV and a computer.

To find how many households have both a TV and a computer, we first need to calculate the number of households that have either a TV, a computer, or both. There are 900 total households, and 100 households have neither, leaving us with 800 households that have at least one of the two devices. We also know that 200 households have only a TV, while 300 households have only a computer. Let's denote the number of households with both a TV and a computer as 'x'. We can set up the equation: 200 (only TV) + 300 (only computer) + x (both) = 800 households with at least one device. So the equation simplifies to: 500 + x = 800. Now, subtracting 500 from both sides gives us x = 300. Thus, 300 households have both a TV and a computer. It's a classic example of using a bit of logical deduction and algebra to untangle numbers! Now, isn't it fascinating how surveys can reveal so much about our society? Just think about how these technologies have integrated into our daily lives and how they shape our viewing and computing habits! It's like a snapshot of a family's lifestyle, all wrapped up in survey data! And of course, not every home has to choose one over the other; some simply like to have it all, which shows you the evolving needs and trends of modern households!