Question

на мельницу 58 мешков пшеницы и 38 мешков ржи. Пшеницы привезли на 16 т. больше, чем ржи. Сколько отдельно завезли ржи и пшеницы, если все мешки с зерном одинаковы по массе?

Answer 1

1)58-38=20меш-больше пшеницы

16т=16000кг

2)16000:20=800кг-в одном мешке

3)58*800=46400кг=46,4т-пшеницы

4)38*800=30400кг=30,4т-ржи

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of bags of wheat and rye separately, given that there are 58 bags of wheat and 38 bags of rye. We also know that there are 16 tons more wheat than rye. Additionally, it is mentioned that all the bags have the same weight.

Solution

Let's assume that the weight of each bag of wheat and rye is 'x' tons.

The total weight of wheat can be calculated by multiplying the number of bags of wheat (58) by the weight of each bag (x): Total weight of wheat = 58x

Similarly, the total weight of rye can be calculated by multiplying the number of bags of rye (38) by the weight of each bag (x): Total weight of rye = 38x

According to the given information, the total weight of wheat is 16 tons more than the total weight of rye. Therefore, we can write the following equation:

Total weight of wheat = Total weight of rye + 16

Substituting the expressions for the total weights of wheat and rye, we get:

58x = 38x + 16

Now, let's solve this equation to find the value of 'x', which represents the weight of each bag of wheat and rye.

58x - 38x = 16 20x = 16 x = 16/20 x = 0.8

Therefore, each bag of wheat and rye weighs 0.8 tons.

To find the number of bags of wheat and rye separately, we can use the weight of each bag and the total weight of wheat and rye.

Number of bags of wheat = Total weight of wheat / Weight of each bag Number of bags of wheat = 58 * 0.8 = 46.4

Number of bags of rye = Total weight of rye / Weight of each bag Number of bags of rye = 38 * 0.8 = 30.4

Since the number of bags cannot be in decimal values, we need to round down the values to the nearest whole number.

Therefore, the number of bags of wheat is 46, and the number of bags of rye is 30.

Answer

If all the bags have the same weight, then 46 bags of wheat and 30 bags of rye were delivered.