In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x –...

In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.

Quiz

Answer/Solution

None of the above

Steps/Work

(x+2)×60+x×120+(x−2)×180/(x+2)+x+(x−2)=100
⇒ 360x−240/3x = 100
⇒ 60x = 240 ⇒ x = 4
Answer E

General Calculator / Auto Solver

In a coconut grove, ( x + ) trees yield nuts per year, x trees yield nuts per year and ( x – ) trees yield nuts per year. If the average yield per year per tree be , find x.

Calculated Answer

4

Step by Step Solution

In order to solve problem, you must evaluate (n0 * n4 - n0 * n1) / (n4 + n1 + n2 - n5 * 3).

n0 =2
n1 =60
n2 =120
n3 =2
n4 =180
n5 =100