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Dual-Variable Mixture Optimization

GMAT glossary · Quantitative Reasoning

Definition

Family of dual-total mixture moves: alligation scale, baseline+gap swaps, and related blend arithmetic.

Dual-Variable Mixture Optimization in plain English

Pull Dual-Variable Mixture Optimization when two concentrations, prices, or coin totals must meet a target blend. Clues include mixture, alligation, blended rate, two types of beans/acids/coins. Blueprint: decide whether the fast move is the Mixture Alligation Scale (Balance Method) or a Baseline + Gap swap story, then finish once. Why it beats the long way: two-variable algebra works but is slower under time pressure once the scale or gap is visible. Micro-example: Mix 10% and 40% acid to 20%. Alligation distances 10 and 20 → 1:2 parts strong to weak.

Practice Dual-Variable Mixture Optimization

What is the salt concentration of the resulting mixture?

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