Question
In a class, the ratio of students who passed to those
who failed is 5:6. If 30 additional students had passed the exam, the ratio would shift to 17:16. How many students are there in total in the class?Solution
Let number of passed and failed students be 5x and 6x respectively. According to question, (5x + 30)/(6x – 30) = 17/16 80x + 480 = 102x – 510 22x = 990 x = 45 Total number of students in the class = 11x = 11 × 45 = 495 Hence, option c.
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