Question

In a garden, 1/5 are mango trees, 1/8 are lychee trees, 1/12 are banana trees and the rest are guava trees. If the number of guava trees is 142, find the total number of the trees

Answer 1

Answer:

240 trees

Step-by-step explanation:

Let the fraction of total no. of trees be 1.

Fraction of no. of mango trees =1/5 

Fraction of No. of litchi trees     = 1/8

Fraction of No. of banana trees   = 1/12

Fraction of No. of guava trees     =1- 1/5 + 1/8 + 1/12

(LCM of 5 , 8, 12 = 120)

                                                   =1-( 24 + 15+ 10)/120

                                                   = 1 -  49 / 120

                                                   = (120 - 49)/120

                                                   = 71/ 120

Let the total total no. of trees be x.

No. of guava trees                       = 142

71/120 *x                                      = 142

x                                                  = 142*120/71

x                                                  =240

Ans.=The total number of trees are 240.

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