Question

Геракл заготовил для 240 коней царя Авгия кормов на 19 дней. На сколько дней хватит этих кормов, если коней у царя Авгия станет 304, а все кони потребляют одинаковое количество корма? Решите пропорцией.

Answer 1

240/x=304/19
x=240*19/304=15дней(хватит кормов)

Answer 2

Problem Analysis

We are given that Hercules prepared food for 240 horses belonging to King Augeas for 19 days. We need to determine how many days the food will last if the number of horses increases to 304, assuming all horses consume the same amount of food.

Solution

To solve this problem, we can set up a proportion using the number of horses and the number of days the food will last. Let's denote the number of days the food will last for 240 horses as 'x'. We can set up the following proportion:

240 horses : 19 days = 304 horses : x days

To solve for 'x', we can cross-multiply and then divide:

240 * x = 19 * 304

Now we can solve for 'x':

x = (19 * 304) / 240

Let's calculate the value of 'x':

x = (19 * 304) / 240 = 24.1333333333

Since we cannot have a fraction of a day, we need to round up to the nearest whole number. Therefore, the food will last for 25 days if the number of horses increases to 304.

Answer

If the number of horses belonging to King Augeas increases to 304 and all horses consume the same amount of food, the food prepared by Hercules will last for 25 days.

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