Question

В смеси сухофруктов яблоки составляют 8 частей, груши- 7 частей, сливы и персики по 4 части. Какова масса смеси сухофруктов, если в ней персиков меньше чем груш на 186 г. Составте уравнение.

Answer 1

Пусть х грамм это одна часть,тогда (8х) это яблоки, (7х) - груши, (4х) - сливы, (4х) - персики.
Так как по условию известно,что разница в граммах между грушами и персиками в смеси равна 186 граммов,составим и решим уравнение:
7х-4х=186
3х=186
х=62 грамм
8х+7х+4х+4х=23х смесь сухофруктов
23*62=1426 граммов
Ответ:1426 граммов

Answer 2

Problem Analysis

We are given the ratios of apples, pears, plums, and peaches in a mixture of dried fruits. We need to find the total mass of the mixture if the weight of peaches is 186 grams less than the weight of pears.

Solution

Let's assume the weight of pears in the mixture is x grams. Since the weight of peaches is 186 grams less than the weight of pears, the weight of peaches can be represented as x - 186 grams.

According to the given ratios, the weight of apples is 8 parts, the weight of pears is 7 parts, the weight of plums is 4 parts, and the weight of peaches is 4 parts.

To find the total mass of the mixture, we need to determine the weight of each part and then calculate the sum.

Let's solve this step by step:

1. Calculate the weight of each part: - The weight of apples = 8 parts - The weight of pears = 7 parts - The weight of plums = 4 parts - The weight of peaches = 4 parts

2. Calculate the total weight of the mixture: - Total weight = weight of apples + weight of pears + weight of plums + weight of peaches

3. Substitute the weight of each part using the given ratios: - Total weight = (8 parts) + (7 parts) + (4 parts) + (4 parts)

4. Substitute the weight of pears and peaches using the assumption made earlier: - Total weight = (8 parts) + (x grams) + (4 parts) + (x - 186 grams)

5. Simplify the equation: - Total weight = 8 + x + 4 + x - 186

6. Combine like terms: - Total weight = 12 + 2x - 186

7. Simplify further: - Total weight = 2x - 174

Therefore, the total mass of the mixture of dried fruits is 2x - 174 grams.

Answer

The mass of the mixture of dried fruits is 2x - 174 grams, where x represents the weight of pears in the mixture.