Question

Помогите решить задачу. 7 класс. яблонь в саду на 12 деревьев меньше чем груш, и в 2 раза меньше чем вишен сколько посажено яблонь, сколько грушь и сколько вишен если всего в саду 100 деревьев?

Answer 1

Пусть яблоки = x, тогда груши = x+12, вишня = 2x.
x+x+12+2x=100
4x=100-12
4x=88
x=22, яблоки
22+12=34 (груши)
2*22=44 (вишня)
Ответ: 22, 34, 44.

Answer 2

Виш- 2х
ябл- х
груш- х+12
2х плюс х плюс х+12 равно 100
4х+12=100 делим все на 4 получим
х+3=25
х=25-3=22
виш 22×2=44
ябл 22
груш 22+12=34
Ответ: вишень 44 яблонь 22 груш 34

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of apple trees, pear trees, and cherry trees in a garden. We are given the following information: - The number of apple trees is 12 less than the number of pear trees. - The number of apple trees is half the number of cherry trees. - The total number of trees in the garden is 100.

Let's assign variables to represent the number of apple trees (A), pear trees (P), and cherry trees (C). We can then use these variables to set up equations based on the given information.

Equations

1. The number of apple trees is 12 less than the number of pear trees: A = P - 12 2. The number of apple trees is half the number of cherry trees: A = C/2 3. The total number of trees in the garden is 100: A + P + C = 100

We can now solve these equations to find the values of A, P, and C.

Solution

To solve the system of equations, we can use substitution or elimination. Let's use substitution to solve for A, P, and C.

From equation 2, we have A = C/2. We can substitute this value of A into equations 1 and 3.

Substituting A = C/2 into equation 1, we get C/2 = P - 12.

Substituting A = C/2 into equation 3, we get C/2 + P + C = 100.

Now we have two equations with two variables (P and C). We can solve this system of equations to find the values of P and C.

Solving the System of Equations

Let's solve the system of equations using the given information.

From equation C/2 = P - 12, we can rewrite it as C = 2P - 24.

Substituting C = 2P - 24 into equation C/2 + P + C = 100, we get (2P - 24)/2 + P + (2P - 24) = 100.

Simplifying the equation, we have P - 12 + P + 2P - 24 = 100.

Combining like terms, we get 4P - 36 = 100.

Adding 36 to both sides of the equation, we have 4P = 136.

Dividing both sides of the equation by 4, we get P = 34.

Now that we have the value of P, we can substitute it back into the equation C = 2P - 24 to find the value of C.

Substituting P = 34 into C = 2P - 24, we get C = 2(34) - 24.

Simplifying the equation, we have C = 68 - 24.

Therefore, C = 44.

Now that we have the values of P and C, we can substitute them back into the equation A = P - 12 to find the value of A.

Substituting P = 34 into A = P - 12, we get A = 34 - 12.

Therefore, A = 22.

Answer

Based on the given information, there are 22 apple trees, 34 pear trees, and 44 cherry trees in the garden, making a total of 100 trees.

Please let me know if you need any further assistance!