Solve proportion equations and explain why the setup matches the context.
Write and solve a proportion from context
Problem
A recipe uses \(3~\text{cups}\) of flour for \(18~\text{cookies}\). Write a proportion with flour over cookies in \(\text{both}~\text{ratios}\) and solve for the flour needed for \(30~\text{cookies}\).
Big Picture
What this problem is really about
Let x represent cups of flour, and keep flour over cookies in both ratios so corresponding units stay aligned. We’ll pair three cups with eighteen cookies and x cups with thirty cookies, then use cross products to isolate x. Comparing the cookie scale factor with the flour scale factor will check the labeled result.
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