5) To reduce pollution and increase ground water level, the people of a town decided to plant trees. Some of them
were fruit trees and the others were non-fruit trees. The number of non-fruit trees were four more than three
times the number of fruit trees,
(1) Find the No. of fruit trees and non-fruit trees planted, if the total number of trees planted were 68
(ii) If the cost of planting a fruit tree is 2250 each and that of a non-fruit tree is 170 each, then find the
total cost of plantation.
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Answers
Answer:
i. number of fruit trees=16
number of non-fruit trees=52
ii. Total cost of plantation is 44840
Step-by-step explanation:
i. Let the number of fruit trees be = x
Let the number of non-fruit trees be= 4+ 3x
⇒4 + 3x + x = 68
⇒4 +4x = 68
⇒4x = 68 - 4
⇒4x = 64
⇒4x/4 = 64/4
∴ x = 16
From the solution above we can say that there are sixteen fruit trees.
So the number of non-fruit trees will be 4 + 3(16) = 52.
ii. To find the cost of planting the fruit trees, you must multiply 16(number of fruit trees) by 2250(cost of planting a fruit tree).
2250×16=36000.
To find the cost of planting the non-fruit trees, you must multiply 52(number of non-fruit trees) by 170(the cost of planting a non-fruit tree).
52×170=8840
So the total cost of plantation will be 36000(cost of plantation of fruit trees)+8840(cost of plantation of non-fruit trees)=44840
∴ The total cost of plantation is 44840.