Question

Рассортировали136т зерна,что составило 54% имеющегося зерна.Сколько тонн зерна надо еще рассортировать, чтобы осталось лишь 19% имеющегося зерна?

Answer 1

100-54-19=27% - надо рассортировать
136 - 54
х - 27
х=136*27/54=68 т
зерна надо рассортировать

Answer 2

Problem Analysis

We are given that 136 tons of grain have been sorted, which represents 54% of the total grain available. We need to determine how many tons of grain still need to be sorted in order to have only 19% of the total grain remaining.

Solution

To solve this problem, we can set up a proportion using the given percentages and the amount of grain already sorted.

Let's assume the total amount of grain available is represented by x tons.

We know that 136 tons of grain have been sorted, which represents 54% of the total grain available. This can be written as:

136 / x = 54 / 100

To find the amount of grain that still needs to be sorted to have only 19% remaining, we can set up another proportion:

y / x = 19 / 100

We need to solve for y, which represents the amount of grain that still needs to be sorted.

Calculation

Let's solve the proportion to find the value of x:

136 / x = 54 / 100

Cross-multiplying, we get:

136 * 100 = 54 * x

Simplifying, we have:

13600 = 54x

Dividing both sides by 54, we find:

x = 13600 / 54 = 252.59

So, the total amount of grain available is approximately 252.59 tons.

Now, let's solve the second proportion to find the amount of grain that still needs to be sorted (y):

y / 252.59 = 19 / 100

Cross-multiplying, we get:

y * 100 = 19 * 252.59

Simplifying, we have:

100y = 4809.21

Dividing both sides by 100, we find:

y = 4809.21 / 100 = 48.09

So, approximately 48.09 tons of grain still need to be sorted in order to have only 19% of the total grain remaining.

Answer

To have only 19% of the total grain remaining, approximately 48.09 tons of grain still need to be sorted.

Please note that the calculations provided are approximate due to rounding.