Write, interpret, and compare ratios using words, symbols, tables, and diagrams.
Choose a smart ratio setup strategy
Problem
A diagram has \(6~\text{triangles}\), \(4~\text{circles}\), and \(2~\text{squares}\). Consider these strategies for finding the ratio of triangles to all shapes: A, add all shapes; B, compare \(\text{triangles}:\text{circles}\); C, subtract squares from triangles; D, rename shapes. Which complete response correctly evaluates the ratio of triangles to all shapes?
We’ll decide whether the requested ratio is part-to-part or part-to-whole, then use that classification to evaluate what the first step must produce. After forming the ratio in the named order, we’ll test common divisors and confirm any simplified form scales back to the original counts. This keeps the strategy tied to the quantities being compared.
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