Question

Для приготовления компота купили груши и сливы. Груши составляют 5 частей, а сливы - 3 части общего веса сухофруктов. Может ли масса груш на 425 грамм или 500 грамм быть больше, чем массы сливы? Сколько килограммов фруктов купили для приготовления компота?

Answer 1

Масса груш больше массы слив на 2 части, значит, это четное число, и может быть больше только на 500 г. Тогда 1 часть - 250 г, груш - 250*5 =1250 г. и слив - 500 г.Всего фруктов - 1250+500=1750 г. или 1,75 кг

Answer 2

Calculation of Fruit Masses

To determine whether the mass of pears can be greater than the mass of plums, we need to compare the proportions of pears and plums in the total weight of dried fruits.

According to the information provided, pears make up 5 parts and plums make up 3 parts of the total weight of dried fruits.

Let's assume the total weight of dried fruits is x grams.

The mass of pears can be calculated as 5/8 of the total weight of dried fruits, and the mass of plums can be calculated as 3/8 of the total weight of dried fruits.

Therefore, the mass of pears is (5/8) * x grams and the mass of plums is (3/8) * x grams.

Comparing Masses of Pears and Plums

To determine if the mass of pears can be greater than the mass of plums, we can set up the following inequality:

(5/8) * x > (3/8) * x

Simplifying the inequality, we have:

5x > 3x

Subtracting 3x from both sides, we get:

2x > 0

Since x represents the total weight of dried fruits, it cannot be negative. Therefore, we can conclude that the mass of pears cannot be greater than the mass of plums.

Calculation of Fruit Quantity

To calculate the total weight of fruits purchased for making the compote, we need to know the weight of pears and plums separately.

According to the information provided, the mass of pears is either 425 grams or 500 grams.

To find the weight of plums, we can use the proportion of pears to plums, which is 5:3.

Let's assume the weight of plums is y grams.

Using the proportion, we can set up the following equation:

(5/3) * y = (425 or 500)

Simplifying the equation, we have:

y = (3/5) * (425 or 500)

Calculating the value of y, we find:

y = (3/5) * 425 = 255 grams or y = (3/5) * 500 = 300 grams

Therefore, the weight of plums is either 255 grams or 300 grams.

To calculate the total weight of fruits, we can add the weight of pears and the weight of plums:

Total weight of fruits = weight of pears + weight of plums

For the case where the weight of pears is 425 grams:

Total weight of fruits = 425 grams + 255 grams = 680 grams

For the case where the weight of pears is 500 grams:

Total weight of fruits = 500 grams + 255 grams = 755 grams

Therefore, the total weight of fruits purchased for making the compote is either 680 grams or 755 grams.

Please note that the calculations provided are based on the information given and may vary depending on the actual proportions and weights of the fruits purchased.