AlgebraMediumNumber of batches within two limits
Algebra practice question
A bakery must make at least 200 rolls today and has enough flour for at most 350 rolls. It makes rolls in batches of 25. Which of the following describes the possible number of batches n?
- A. 8 ≤ n ≤ 14Correct
- B. 200 ≤ n ≤ 350
- C. n ≥ 8
- D. n ≤ 14
Answer: A. 8 ≤ n ≤ 14
25n ≥ 200 gives n ≥ 8, and 25n ≤ 350 gives n ≤ 14.
Why the other answers are wrong
- B. 200 ≤ n ≤ 350
- These are the limits on rolls, not batches.
- C. n ≥ 8
- This ignores the flour limit.
- D. n ≤ 14
- This ignores the minimum order.
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