Question
The average number of novels on historical, thriller and
fantasy in a library is 170, and the average number of novels on historical and fantasy is 140. If the number novels on fantasy is 20% less than the number of novels on thriller, then what is the number of novels on historical in the library?Solution
Let the number of novels on historical, thriller and fantasy be x, y and z respectively. Given, (x + y + z)/3 = 170 => x + y + z = 510 ….. (1) And, (x + z)/2 = 140 => x + z = 280 ….. (2) From equation 1 and 2 Number of novels on thriller = y = 230 Number of novels on fantasy = 0.8 × 230 = 184 Therefore, number of novels on historical = 510 – (230 + 184) = 96
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