Question

In an orchard, 1/3 of the trees are guava trees, 1/8 are banana trees and the rest are mango trees. If there are 117 mango trees in the orchard, how many trees are there in all? Please give explanation.

Answer 1

Let the number of total trees in the orchard = xNumber of guava trees = x3Number of banana trees = x8Number of mango trees = x − (x3 + x8)=x − (8x+3x24)=x − 11x24=24x − 11x24=13x24But number of mango trees in the orchard = 117So, 13x24 = 117⇒x = 117 × 2413 = 216So, total number of trees in the orchard = 216
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