Question
In an orchard, the ratio of the number of mango and lichi trees is 5:8, respectively. Also, there are few apple trees in the orchard which is 40% more than the number of mango trees. Total number of trees in the orchard is 105. What is the number of lichi trees in the orchard?
Solution
Let the number of mango trees and the lichi trees in the orchard be 5x and 8x respectively. According to the question, Number of apple trees in the orchard = 5x + 0.4 × 5x = 7x Therefore, 5x + 8x + 7x = 105 Or, 20x = 105 Or, x = 5.25 Number of lichi trees in the orchard = 8x = 42
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