Question

Решите задачу:из 7/20 всей муки повар испёк бублики,9/20 пошло на булочки, а остальные 8 кг на ватрушки.Сколько килограммов муки было у повара вначале?

Answer 1

1)   1- (7/20+9/20)=4/20(части) - осталось на ватрушки, что равно 8 кг
2)   8*20:4=40(кг) - муки было всего

Answer 2

7/20+9/20= 16/20= 4/5 части муки использовал
1-4/5= 5/5-4/5= 1/5 часть осталась
8*5:1= 40 кг было
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Проверка
40*7:20= 14 кг на бублики
40*9:20= 18 кг на булочки
14+18+8= 40 кг было всего

Answer 3

Problem Analysis

To solve this problem, we need to determine the total amount of flour the cook had initially. We are given that the cook used 7/20 of the flour to make bagels, 9/20 to make buns, and the remaining 8 kg to make pastries. We need to find the total amount of flour the cook had at the beginning.

Solution

Let's assume that the total amount of flour the cook had initially is x kg.

According to the given information: - The cook used 7/20 of the flour to make bagels, which is equal to (7/20) * x kg. - The cook used 9/20 of the flour to make buns, which is equal to (9/20) * x kg. - The remaining flour, 8 kg, was used to make pastries.

To find the total amount of flour the cook had initially, we can set up the following equation:

(7/20) * x + (9/20) * x + 8 = x

Now, let's solve this equation to find the value of x.

(7/20 + 9/20) * x + 8 = x

(16/20) * x + 8 = x

16x/20 + 8 = x

16x + 160 = 20x

160 = 20x - 16x

160 = 4x

x = 160/4

x = 40

Therefore, the cook had 40 kg of flour initially.

Answer

The cook had 40 kg of flour initially.