A group of students planted a total of 100 trees in a town. They planted some fruit-bearing trees and some non-fruit-bearing trees. The number of non-fruit-bearing trees was one more than twice the number of fruit-bearing trees. How many fruit-bearing trees and non-fruit-bearing trees did they plant in total?

Open in App

Solution

Let \(x\) be the number of fruit-bearing trees planted by the students.

According to the question, the number of non-fruit-bearing trees is \(1+2x\).
Total number of trees = 100
Number of fruit-bearing trees + number of non-fruit-bearing trees = 100
\(\Rightarrow x+(1+2x)=100\)

Solving this equation to get the value of \(x\)
\(\Rightarrow3x+1=100\\
\Rightarrow3x=100-1=99\\
\Rightarrow x=\dfrac{99}{3}=33\)
The number of fruit-bearing trees is 33.
Number of non-fruit-bearing trees \(= 1+2x =1+2\times33=1+66=67\) The number of non-fruit-bearing trees is 67.

Suggest Corrections

Similar questions

Q. People of Sundargram planted a total of

102

trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted?

Solve the following:

(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

(ii) Laxmi’s father is 49 year old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

(iii) People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Q. Question 3(iv)
Solve the following :
People of Sundergram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees are two more than three times the number of fruit trees. What was the number of fruit trees planted?

Q. Some students planted

100

trees. Out of the

100

trees planted, the number of non-fruit-bearing trees was one more than twice the number of fruit-bearing trees. How many fruit-bearing and non-fruit-bearing trees did they plant?

Q. Students in a class planted 100 trees. They planted some fruit trees and some non-fruit trees. The number of non-fruit trees was one more than twice the number of fruit trees. How many fruit trees and non-fruit trees did they plant?

Join BYJU'S Learning Program