Write, interpret, and compare ratios using words, symbols, tables, and diagrams.
Distinguish part-to-part from part-to-whole
Problem
A class has \(12~\text{girls}\) and \(8~\text{boys}\). Classify the ratio of girls to all students as part-to-part or part-to-whole, and write the ratio.
Big Picture
What this problem is really about
The phrase girls to all students compares one group with the entire class, so we first need the whole rather than the boys count alone. We’ll add both groups, classify the comparison by what its two terms represent, and preserve girls-first order in the ratio. Reading the terms back confirms the type and direction.
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