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In a coconut grove, (x+2) trees yield 60 coconuts per year, x trees yield 120 coconuts per year and (x−2) trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.
- a)4
- b)3
- c)2
- d)1
Correct answer is option 'A'. Can you explain this answer?
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In a coconut grove,(x+2)trees yield 60 coconuts per year, x trees yiel...
To solve this problem, we need to calculate the total number of coconuts produced by the trees and then find the value of xxx such that the average yield per tree per year is 100 coconuts.
Step 1: Set up the equation for total coconuts
- The number of trees yielding 60 coconuts per year is (x+2)
- The number of trees yielding 120 coconuts per year is x.
- The number of trees yielding 180 coconuts per year is (x−2)
The total yield from all the trees is:
Total yield = 60(x+2) + 120x + 180(x−2)
Most Upvoted Answer
In a coconut grove,(x+2)trees yield 60 coconuts per year, x trees yiel...
2) trees yield 180 coconuts per year.
Let's represent the number of trees in the coconut grove as 'x'.
So, the number of coconuts yielded by (x 2) trees per year = 60 coconuts.
The number of coconuts yielded by x trees per year = 120 coconuts.
And the number of coconuts yielded by (x 2) trees per year = 180 coconuts.
From the given information, we can set up the following equations:
(x 2) = 60
x = 120
(x 2) = 180
Simplifying these equations, we get:
2x = 60
x = 30
x = 120
2x = 180
From these equations, we can conclude that there are 30 trees in the coconut grove.
Let's represent the number of trees in the coconut grove as 'x'.
So, the number of coconuts yielded by (x 2) trees per year = 60 coconuts.
The number of coconuts yielded by x trees per year = 120 coconuts.
And the number of coconuts yielded by (x 2) trees per year = 180 coconuts.
From the given information, we can set up the following equations:
(x 2) = 60
x = 120
(x 2) = 180
Simplifying these equations, we get:
2x = 60
x = 30
x = 120
2x = 180
From these equations, we can conclude that there are 30 trees in the coconut grove.
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In a coconut grove,(x+2)trees yield 60 coconuts per year, x trees yield 120 coconuts per year and(x−2) trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.a)4 b)3c)2 d)1Correct answer is option 'A'. Can you explain this answer?
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