Question

Из яблок груш и абрикосов изготовили сок. Груш в 3 раза больше чем абрикосов,и на 500 грамм меньше чем яблок. Всего понадобилось 2 кг яблок и груш.сколько кг абрикосов и сколько кг яблок понадобилось для изготовления сока? РЕШИТЬ ЗАДАЧУ С ПОМОЩЬЮ УРАВНЕНИЯ.

Answer 1

Груши - ? в 3 раза больше, чем абрикосов
Яблоки - ? на 500 г больше, чем груш
Абрикосы - ?
2 кг = 2 000 г
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1) 2 000 - 500 = 1 500 г - яблок и груш поровну;
2) 1 500 : 2 = 750 г - груши
3) 750 + 500 = 1 250 г = 1 кг 250 г - яблоки
4) 750 : 3 = 250 г - абрикосы
Ответ: 1 кг 250 г яблок и 250 г абрикосов.

Answer 2

Problem Analysis

To solve this problem, we need to determine the amount of apricots and apples required to make the juice. We are given the following information: - The amount of pears is 3 times greater than the amount of apricots. - The amount of pears is 500 grams less than the amount of apples. - The total amount of apples and pears used is 2 kg.

Let's assume: - The amount of apricots is represented by 'a' (in kg). - The amount of pears is represented by 'p' (in kg). - The amount of apples is represented by 'x' (in kg).

Solution

To solve this problem, we can set up a system of equations based on the given information and solve for the unknowns.

1. The amount of pears is 3 times greater than the amount of apricots: - p = 3a

2. The amount of pears is 500 grams less than the amount of apples: - p = x - 0.5

3. The total amount of apples and pears used is 2 kg: - p + x = 2

Now, we can substitute the value of 'p' from equation 1 into equation 2: - 3a = x - 0.5

Substituting the value of 'p' from equation 1 into equation 3: - 3a + x = 2

We have a system of two equations with two unknowns. We can solve this system of equations to find the values of 'a' and 'x'.

Solving the System of Equations

To solve the system of equations, we can use the substitution method.

Substituting the value of 'p' from equation 1 into equation 3: - 3a + x = 2

Simplifying equation 3: - x = 2 - 3a

Substituting the value of 'x' from the simplified equation 3 into equation 2: - 3a = (2 - 3a) - 0.5

Simplifying equation 2: - 3a = 1.5 - 3a

Combining like terms: - 6a = 1.5

Dividing both sides by 6: - a = 0.25

Substituting the value of 'a' into the simplified equation 3 to find 'x': - x = 2 - 3(0.25) - x = 2 - 0.75 - x = 1.25

Substituting the value of 'a' into equation 1 to find 'p': - p = 3(0.25) - p = 0.75

Answer

Therefore, to make the juice, we would need 0.25 kg of apricots and 1.25 kg of apples.

Please let me know if I can help you with anything else.