Question

помогите решить задачу в магазине в первый день продали 35%, во второй день-28% всех овощей, а в третий день- оставшиеся 333 кг. сколько всего килограммов овощей было в магазине первоначально?

Answer 1

Problem Analysis

To solve this problem, we need to find the total weight of vegetables initially in the store. We are given that on the first day, 35% of the vegetables were sold, on the second day 28% were sold, and on the third day, the remaining 333 kg were left. We need to determine the initial weight of the vegetables.

Solution

Let's assume the initial weight of the vegetables in the store is x kg.

On the first day, 35% of the vegetables were sold, which means 65% of the vegetables remained. This can be expressed as:

0.65x kg of vegetables remained after the first day.

On the second day, 28% of the remaining vegetables were sold, which means 72% of the vegetables remained. This can be expressed as:

0.72 * 0.65x kg of vegetables remained after the second day.

On the third day, the remaining 333 kg of vegetables were left. This can be expressed as:

0.72 * 0.65x = 333 kg.

To find the initial weight of the vegetables, we can solve this equation for x:

0.468x = 333.

Dividing both sides of the equation by 0.468, we get:

x = 333 / 0.468.

Evaluating this expression, we find that the initial weight of the vegetables in the store was approximately 711.54 kg.

Therefore, the total weight of vegetables initially in the store was approximately 711.54 kg.

Answer

The total weight of vegetables initially in the store was approximately 711.54 kg.