Question

На стол положили ложки, вилки и ножи-всего 37 приборов. при этом вилок положили в 2 раза больше чем ножей и на 2 меньше чем ложек. сколько положили на стол ложек,вилок, ножей/?

Answer 1

Х ножи
2х вилки
2х+2 ложки
х+2х+2х+2=37
5х=35
х=7 ножей
7*2=14 вилок
14+2=16 ложек

Answer 2

Пусть х будут ножи.
Вилки - 2х.
Ложки - 2х+2
х+2х+2х+2=37
х+2х+2х=37-2
5х=35
х=7 ножей
7*2=14 количество вилок
14+2=16 количество ложек

Answer 3

Calculating the Number of Utensils

To solve this problem, we can use a system of equations to represent the given information and then solve for the number of each type of utensil.

Let's denote: - L as the number of spoons, - V as the number of forks, and - N as the number of knives.

We are given the following information: 1. The total number of utensils is 37: L + V + N = 37. 2. The number of forks is twice the number of knives: V = 2N. 3. The number of forks is two less than the number of spoons: V = L - 2.

Solving the System of Equations

We can use the second and third pieces of information to express L and N in terms of a single variable, and then substitute these expressions into the first equation to solve for the values.

From the second piece of information, we have: N = V / 2.

From the third piece of information, we have: L = V + 2.

Substituting these expressions into the first equation: L + V + N = 37 becomes (V + 2) + V + (V / 2) = 37.

Solving for V: 2.5V + 2 = 37, 2.5V = 35, V = 14.

Substituting V = 14 into the expressions for L and N: L = 14 + 2 becomes L = 16, N = 14 / 2 becomes N = 7.

Conclusion

Therefore, the number of spoons is 16, the number of forks is 14, and the number of knives is 7.