SAT Math Practice Question #168 (Medium (560)) | Test Citadel
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SAT Math Difficulty: Medium (560)

Digital SAT Math Practice Question #168

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A local food truck sells tacos for \( \$3 \) each and burritos for \( \$5 \) each. On a given day, the food truck sold a total of \( 80 \) items and made a total revenue of \( \$310 \). How many burritos were sold?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Check for special right triangles (\( 30^\circ-60^\circ-90^\circ \) or \( 45^\circ-45^\circ-90^\circ \)) or the complementary angle identity \( \sin(x) = \cos(90^\circ - x) \).

Elimination Framework (Hint 2)

Elimination Shortcut: Check the extremes or test answer choices starting with C to binary search the correct magnitude.

Masterclass Solution & Distractor Trap Analysis

This is a classic 'Systems of Equations' word problem. The secret to these is to build two distinct equations: a 'quantity' equation and a 'value' equation. Step 1: Define your variables. Let \( t \) = the number of tacos sold. Let \( b \) ...

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

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