SAT Math Practice Question #2442 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2442

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A factory mixes a 20% acid solution with a 50% acid solution to produce 60 liters of a 30% acid solution. How many liters of the 20% solution are used?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Desmos / Fast Proportion: Set up equivalent fractions $\frac{a}{b} = \frac{c}{d}$ and cross-multiply in seconds.

Masterclass Solution & Distractor Trap Analysis

Let $x$ be liters of 20% solution: $0.20x + 0.50(60 - x) = 0.30(60) = 18 \implies 0.20x + 30 - 0.50x = 18 \implies -0.30x = -12 \implies x = 40$ liters....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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