# A garden has 2000 trees. 12% of these are mango trees, 18% lemon and the rest of orange trees. Find the number of orange trees.

Answer

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Hint: Use the information that the total number of oranges will be equal to the difference of the number of total trees and total of the rest of the trees. To the total of the rest of the tree we need to find their actual numbers.

Complete step-by-step answer:

Here we have given the total number of trees as 2000. In which 12% are mangoes and 18% are lemons and rest are orange. Let’s calculate their actual values.

Number of mangoes will be $\dfrac{{2000 \times 12}}{{100}}$ which is equal to $240$. Number of lemon trees will be $\dfrac{{2000 \times 18}}{{100}}$ which is equal to $360$. Total number of oranges will be equal to the difference of the number of total trees and the total of the rest of the trees. So, the number of orange trees will be equal to $2000 - (240 + 360) = 1400$.

Note: Here to convert percentage into numbers we have used $\dfrac{{{\text{total number of trees}} \times {\text{total percentage of the specific trees}}}}{{100}}$. Alternatively, we can use the fact that the total percentage is 100%. So we can find the percentage of orange trees first and then use the above mentioned formula to find no. of orange trees.

Complete step-by-step answer:

Here we have given the total number of trees as 2000. In which 12% are mangoes and 18% are lemons and rest are orange. Let’s calculate their actual values.

Number of mangoes will be $\dfrac{{2000 \times 12}}{{100}}$ which is equal to $240$. Number of lemon trees will be $\dfrac{{2000 \times 18}}{{100}}$ which is equal to $360$. Total number of oranges will be equal to the difference of the number of total trees and the total of the rest of the trees. So, the number of orange trees will be equal to $2000 - (240 + 360) = 1400$.

Note: Here to convert percentage into numbers we have used $\dfrac{{{\text{total number of trees}} \times {\text{total percentage of the specific trees}}}}{{100}}$. Alternatively, we can use the fact that the total percentage is 100%. So we can find the percentage of orange trees first and then use the above mentioned formula to find no. of orange trees.

Last updated date: 21st Sep 2023

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