Question

Из 7/20 всей муки повар испек бублики, 9/20 пошло на булочки, а остальные 8 кг-на ватрушки. сколько килограммов муки было у повара вначале?

Answer 1

7/20+9/20=16/20 муки ушло на бублики и булочки
1-16/20=20/20-16/20=4/20 муки ушло на ватрушки
8÷4×20=40 кг муки было у повара

Answer 2

Problem Analysis

The problem states that a cook used 7/20 of the total amount of flour to make bagels, 9/20 to make rolls, and the remaining 8 kg to make pastries. We need to determine the initial amount of flour the cook had.

Solution

Let's assume the initial amount of flour the cook had is represented by the variable 'x' (in kg).

According to the problem, 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 rolls, which is equal to (9/20) * x kg.

The remaining flour, which was used to make pastries, is equal to 8 kg.

To find the initial amount of flour, we can set up the following equation:

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

Simplifying the equation:

(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 initial amount of flour the cook had was 40 kg.

Answer

The cook had 40 kilograms of flour initially.