Question

Смесь сухофруктов для компота состоит из четырех одинаковых по массе частей сушеных яблок двух таких частей груши одной части чернослива и одной части изюма Какова доля изюма в смеси?Сколько граммов изюма положили в 3 кг смеси компота

Answer 1

4яб + 2гр + 1 чс+ 1из   = 8 частей всего
1\8 изюма в смеси сухофруктов
3 \ 8 = 0.375 г изюма в 3 кг смеси

Answer 2

Calculation of the Proportion of Raisins in the Fruit Mix

To determine the proportion of raisins in the fruit mix, we need to calculate the ratio of the weight of raisins to the total weight of the fruit mix.

According to the given information, the fruit mix consists of four equal parts of dried apples, two equal parts of pears, one part of prunes, and one part of raisins.

Let's assume that each part weighs 'x' grams.

The weight of dried apples in the fruit mix is 4x grams. The weight of pears in the fruit mix is 2x grams. The weight of prunes in the fruit mix is x grams. The weight of raisins in the fruit mix is also x grams.

To find the proportion of raisins in the fruit mix, we need to calculate the ratio of the weight of raisins to the total weight of the fruit mix.

The total weight of the fruit mix is the sum of the weights of all the ingredients: Total weight = 4x + 2x + x + x = 8x

The proportion of raisins in the fruit mix is given by: Proportion of raisins = (Weight of raisins) / (Total weight of the fruit mix)

Substituting the values, we get: Proportion of raisins = x / (8x)

Simplifying the expression, we find: Proportion of raisins = 1 / 8

Therefore, the proportion of raisins in the fruit mix is 1/8.

Calculation of the Weight of Raisins in 3 kg of Fruit Mix

To calculate the weight of raisins in 3 kg of fruit mix, we need to multiply the total weight of the fruit mix by the proportion of raisins.

Given that the total weight of the fruit mix is 8x grams, we can calculate the weight of raisins as follows:

Weight of raisins = Proportion of raisins * Total weight of the fruit mix

Substituting the values, we get: Weight of raisins = (1/8) * 3000 grams

Simplifying the expression, we find: Weight of raisins = 375 grams

Therefore, in 3 kg of fruit mix, there are 375 grams of raisins.

Please note that the calculations assume that each part of the fruit mix has the same weight.