
В саду растут яблони,груши, и сливы.Яблони составляют 8/15 всех деревьев,груши- 4/15 всех
деревьев,а число слив равно 12.сколько деревьев в саду?Сколько в нём яблонь и сколько груш?

Ответы на вопрос




Problem Analysis
We are given that in a garden, there are apple trees, pear trees, and plum trees. The apple trees make up 8/15 of all the trees, the pear trees make up 4/15 of all the trees, and there are 12 plum trees. We need to find the total number of trees in the garden, as well as the number of apple trees and pear trees.Solution
Let's assume the total number of trees in the garden is x.According to the given information: - The apple trees make up 8/15 of all the trees, so there are (8/15) * x apple trees. - The pear trees make up 4/15 of all the trees, so there are (4/15) * x pear trees. - There are 12 plum trees.
To find the total number of trees in the garden, we can set up the following equation:
(8/15) * x + (4/15) * x + 12 = x
Simplifying the equation:
(8/15 + 4/15) * x + 12 = x
(12/15) * x + 12 = x
12/15 * x = x - 12
12x = 15x - 180
15x - 12x = 180
3x = 180
x = 180 / 3
x = 60
Therefore, there are 60 trees in the garden.
To find the number of apple trees, we can substitute the value of x back into the equation:
(8/15) * 60 = 32
So, there are 32 apple trees in the garden.
To find the number of pear trees, we can also substitute the value of x back into the equation:
(4/15) * 60 = 16
So, there are 16 pear trees in the garden.
Answer
The total number of trees in the garden is 60. There are 32 apple trees and 16 pear trees.

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