Question

(Даю 50 балов) ! Розв'язати задачу за допомогою рівняння ! До трьох магазинів завезли 68 кг цукерок. В другий магазин було завезено на 4кг цукерок менше ніж в перший. А в третій магазин доставили в Зрази більше цукерок ніж в другий магазин. Скільки кг цукерок було завезено в кожний магазин? Срочно помогите пожалуйста!!!

Answer 1

Пошаговое объяснение:

1 магазин = х + 4 кг конфет

2 магазин = х кг конфет

3 магазин = 3 * х = 3х кг конфет

Всего = 68 кг конфет

х + 4 + х + 3х = 68

5х + 4 = 68

5х = 68 - 4

5х = 64

х = 64 : 5

х = 12,8

1 магазин = (х + 4) = 12,8 + 4 = 16,8 кг конфет

2 магазин = (х) = 12,8 кг конфет

3 магазин = (3х) = 3 * 12,8 = 38,4 кг конфет

16,8 + 12,8 + 38,4 = 68

Answer 2

Problem Analysis

To solve this problem, we can set up a system of equations based on the given information. Let's denote the amount of candy delivered to the first, second, and third stores as x, y, and z, respectively. We can then translate the given information into equations and solve them to find the values of x, y, and z.

Equations

1. The total amount of candy delivered to the three stores is 68 kg: - x + y + z = 68

2. The second store received 4 kg less candy than the first store: - y = x - 4

3. The third store received more candy than the second store: - z > y

Now, let's solve these equations to find the values of x, y, and z.

Solving the Equations

To solve the system of equations, we can use the substitution method. We'll start by substituting equation 2 into equation 1:

x + (x - 4) + z = 68

Simplifying the equation:

2x + z = 72

Now, we can substitute equation 3 into the simplified equation:

2x + (y + 4) = 72

Substituting equation 2 into the equation:

2x + (x - 4 + 4) = 72

Simplifying the equation:

3x = 72

Dividing both sides by 3:

x = 24

Now that we have the value of x, we can substitute it back into equation 2 to find y:

y = x - 4 y = 24 - 4 y = 20

Finally, we can substitute the values of x and y into equation 1 to find z:

x + y + z = 68 24 + 20 + z = 68 44 + z = 68 z = 68 - 44 z = 24

Solution

Therefore, the amount of candy delivered to each store is as follows: - The first store received 24 kg of candy. - The second store received 20 kg of candy. - The third store received 24 kg of candy.

I hope this helps! Let me know if you have any further questions.