Question

4. В саду растут яблони, груши и сливы. Яблони составляют 7/16 всех деревьев, груши 5/16 всех деревьев, а число слив равно 36. Сколько всего деревьев в саду? Сколько в нём отдельно яблонь и груш?

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Calculating the Total Number of Trees in the Garden

To find the total number of trees in the garden, we can use the information provided about the proportions of apple trees, pear trees, and plum trees.

Let's denote the total number of trees in the garden as T.

The proportion of apple trees is given as 7/16 of all trees, the proportion of pear trees is given as 5/16 of all trees, and the number of plum trees is given as 36.

We can set up the following equations based on the given information: 1. Number of Apple Trees (A): A = (7/16)T 2. Number of Pear Trees (P): P = (5/16)T 3. Number of Plum Trees (36): A + P + 36 = T

Now, let's solve for the total number of trees (T).

First, we can find the values of A and P using the proportions: - A = (7/16)T - P = (5/16)T

Then, we can substitute these values into the equation for the total number of trees: - (7/16)T + (5/16)T + 36 = T - (12/16)T + 36 = T - (3/4)T + 36 = T - 36 = T - (3/4)T - 36 = (1 - 3/4)T - 36 = (1/4)T - T = 36 / (1/4) - T = 36 * 4 - T = 144

Calculating the Number of Apple Trees and Pear Trees

Now that we have found the total number of trees in the garden to be 144, let's calculate the number of apple trees and pear trees separately.

Using the proportions we previously found: - Number of Apple Trees (A): A = (7/16) * 144 - Number of Pear Trees (P): P = (5/16) * 144

Calculating the values: - A = (7/16) * 144 = 63 - P = (5/16) * 144 = 45

So, in the garden: - Total number of trees: 144 - Number of apple trees: 63 - Number of pear trees: 45