Скачать или смотреть SAT TEST 10 - QUANTITATIVE - MODULE 1 - QUESTION 7 - Topic: Word Problems Algebra

An event planner is planning a party. It costs the event planner a onetime fee of 35 dollars to rent the venue and 10.25 dollars per attendee. The event planner has a budget of 300 dollars. What is the greatest number of attendees possible without exceeding the budget?

Solution
Let x be the number of attendees.
The total cost is 35 + 10.25x, and it must be less than or equal to 300.

35 + 10.25x ≤ 300
10.25x ≤ 265
x ≤ 265 ÷ 10.25
x ≤ 25.85…

Since the number of attendees must be a whole number, the greatest possible integer value is 25.

Final answer: 25 attendees.

Hability to translate real situations into linear expressions or inequalities. The key is identifying the fixed cost, variable cost, and the constraint. Once these pieces are clear, the rest becomes simple algebra: isolate the variable, interpret the meaning of the result, and round only when the real-world context requires whole numbers. Practicing this translation skill boosts speed and accuracy, especially because many SAT questions hide the algebra in everyday scenarios like budgets, distances, ratios, or rates.

How to turn a real-life budget problem into a clean linear inequality for the SAT. Learn how to spot fixed fees, per-unit costs, and translate every word into algebra quickly and accurately. This is the method we teach at New York College Prep using only official SAT digital materials and step-by-step strategies for high-scoring students. Master word problems, improve your timing, and raise your Digital SAT Math score with clear techniques that actually work.
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