Question

С одного участка собрали 980 кг картофеля , а с другого в 3 раза больше . Пятую часть всего картофеля разложили поровну в 16 мешков , Сколько таких мешков понадобится , чтобы разложить весь картофель ? Найди 2 способа решения

Answer 1

1)980*3=2940(кг) - со второго участка 2)2940+980=3920(кг) - вместе 3)3920:5=784(кг) - разложили 4)784:16=49(кг) 5)3920:49=80 Ответ:80 мешков понадобится чтобы разложить весь картофель

Answer 2

Solution 1: Using Algebraic Equations

To solve this problem, we can use algebraic equations to represent the given information and find the number of bags needed to distribute all the potatoes.

Let's denote: - Weight of potatoes from the first patch as x kg - Weight of potatoes from the second patch as 3x kg (since it's three times more than the first patch) - Total weight of potatoes = x + 3x = 4x kg

Given that the fifth part of the total potatoes is distributed equally into 16 bags, we can set up the equation: - (1/5) * 4x = 16 - 4x/5 = 16 - 4x = 16 * 5 - 4x = 80 - x = 80 / 4 - x = 20

So, the weight of potatoes from the first patch is 20 kg, and from the second patch is 3 * 20 = 60 kg.

Now, to find the total number of bags needed to distribute all the potatoes, we can calculate: - Total weight of potatoes = 20 + 60 = 80 kg - Number of bags needed = Total weight / Weight per bag - Number of bags needed = 80 / 5 - Number of bags needed = 16

Solution 2: Using Proportions

Another way to solve this problem is by using proportions.

We know that the fifth part of the total potatoes is distributed equally into 16 bags. So, we can set up the proportion: - (1/5) * Total weight = 16 bags - Total weight = 16 * 5 - Total weight = 80 kg

Therefore, the total weight of the potatoes is 80 kg, and the number of bags needed to distribute all the potatoes is 16.