Question

В саду растут яблони груши и сливы яблони составляют 8 15 всех деревьев груши 4 15 всех деревьев а число если в равно 12 Сколько всего деревьев в саду сколько в нем яблони и сколько груш

Answer 1

32 яблони 16 груш....................

Answer 2

Problem Analysis

We are given that there are apple trees, pear trees, and plum trees in a garden. The proportion of apple trees to all trees is 8/15, and the proportion of pear trees to all trees is 4/15. We are also given that the number of trees in the garden is 12. We need to determine the total number of trees in the garden, the number of apple trees, and the number of pear trees.

Solution

Let's assume the total number of trees in the garden is x. According to the given information, the proportion of apple trees to all trees is 8/15, and the proportion of pear trees to all trees is 4/15. We can set up the following equations:

1. The proportion of apple trees to all trees: 8/15 = apple_trees / x 2. The proportion of pear trees to all trees: 4/15 = pear_trees / x

We can solve these equations to find the values of x, apple_trees, and pear_trees.

Calculation

To solve the equations, we can use the method of cross-multiplication.

1. The proportion of apple trees to all trees: 8/15 = apple_trees / x - Cross-multiplying: 8x = 15 * apple_trees - Simplifying: 8x = 15apple_trees - Dividing both sides by 8: x = (15/8)apple_trees

2. The proportion of pear trees to all trees: 4/15 = pear_trees / x - Cross-multiplying: 4x = 15 * pear_trees - Simplifying: 4x = 15pear_trees - Dividing both sides by 4: x = (15/4)pear_trees

Now, we have two equations for x in terms of apple_trees and pear_trees. We can substitute these values into the equation x = 12 to find the values of apple_trees and pear_trees.

Substituting x = 12 into the equations:

1. 12 = (15/8)apple_trees - Multiplying both sides by 8/15: (8/15) * 12 = apple_trees - Simplifying: apple_trees = 64/5 = 12.8

2. 12 = (15/4)pear_trees - Multiplying both sides by 4/15: (4/15) * 12 = pear_trees - Simplifying: pear_trees = 16/5 = 3.2

Since the number of trees must be a whole number, we can round the values of apple_trees and pear_trees to the nearest whole number.

Rounding apple_trees to the nearest whole number: apple_trees ≈ 13

Rounding pear_trees to the nearest whole number: pear_trees ≈ 3

Therefore, the total number of trees in the garden is 12, the number of apple trees is 13, and the number of pear trees is 3.

Answer

In the garden, there are a total of 12 trees, including 13 apple trees and 3 pear trees.