Write, interpret, and compare ratios using words, symbols, tables, and diagrams.
Check what a ratio is measuring
Problem
A basket has \(4~\text{blue}~\text{tiles}\) and \(9~\text{tiles}~\text{total}\). A student says \(4:9\) means blue tiles to total tiles. Is the claim correct, and what does the ratio compare?
Big Picture
What this problem is really about
We’ll label the two numbers before judging the student’s claim: four counts blue tiles, while nine counts every tile in the basket. Then we’ll read the ratio in order and contrast it with the separate blue-to-non-blue comparison. That distinction determines whether the claim describes the given quantities accurately.
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