Twenty students scored 2, 3, 4 or 5 in a 5-mark test. 2 students scored 2 and 4 students scored 3. The class scored 78 marks in total. How many students scored 5?

Question

Accepted Answer

6. Let x students score 4 and y score 5. Students: x + y = 20 − 6 = 14. Marks: 4 + 12 + 4x + 5y = 78, so 4x + 5y = 62. Using x = 14 − y: 56 − 4y + 5y = 62, so y = 6 (and x = 8).

Twenty students scored 2, 3, 4 or 5 in a 5-mark test. 2 students scored 2 and 4 students scored 3. The class scored 78 marks in total. How many students scored 5?

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