The number of students in a geometry class is four fifths the number of students in a Spanish class. The total number of students in both classes does not exceed 54. What is the greatest possible number of students in the Spanish class?
Correct answer: A. 30
- A. 30
- B. 32
- C. 34
- D. 36
Explanation
Number of students in the Spanish class=x Since the number of students in the geometry class is four fifths the number of students in the Spanish class, the number of students in the geometry class =(4/5)x. The total number of students in both classes does not exceed 54, so we can set up the following inequality: x + (4/5)x ≤ 54 Simplifying this inequality, we get: (9/5)x ≤ 54 Multiplying both sides by 5/9, we get: x ≤ 30 So the greatest possible number of students in the Spanish class is 30, which is option A.
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