Question

Лимоны одинаковой массы продают поштучно.Масса каждого лимона составляет целое количество граммов.Купили больше двух,но меньше семи лимонов.Масса всей покупки составляет 850 г.Какова масса одного лимона?Срочно

Answer 1

Без остатка 850 делится только на 5 (от 2 до 7), поэтому купили 5 лимонов. 850/5=170 г масса 1-го лимона

Answer 2

Problem Analysis

We are given that lemons of the same mass are sold individually. The mass of each lemon is a whole number of grams. We know that more than two but fewer than seven lemons were purchased, and the total mass of the purchase is 850 grams. We need to determine the mass of one lemon.

Solution

Let's assume the mass of one lemon is x grams. Since the mass of each lemon is a whole number of grams, we can express the number of lemons purchased as a whole number between 2 and 6.

We can set up the following equation to represent the given information:

2 ≤ number of lemons ≤ 6 (from the given condition)

Total mass of the purchase = number of lemons × mass of each lemon = 850 grams

Using this equation, we can solve for the mass of one lemon.

Mathematical Solution

Let's solve the equation to find the mass of one lemon.

Let n represent the number of lemons and x represent the mass of one lemon.

From the given equation: n × x = 850

Since the number of lemons must be a whole number between 2 and 6, we can substitute the possible values of n into the equation and solve for x.

For n = 2, the equation becomes: 2x = 850. Solving for x, we find x = 425.

For n = 3, the equation becomes: 3x = 850. Solving for x, we find x = 283.33. However, since the mass of each lemon must be a whole number, this solution is not valid.

For n = 4, the equation becomes: 4x = 850. Solving for x, we find x = 212.5. However, since the mass of each lemon must be a whole number, this solution is not valid.

For n = 5, the equation becomes: 5x = 850. Solving for x, we find x = 170.

For n = 6, the equation becomes: 6x = 850. Solving for x, we find x = 141.67. However, since the mass of each lemon must be a whole number, this solution is not valid.

Therefore, the only valid solution is when n = 5 and x = 170. This means that the mass of one lemon is 170 grams.

Answer

The mass of one lemon is 170 grams.

Verification

To verify our answer, we can substitute the values of n and x into the equation n × x = 850.

For n = 5 and x = 170, the equation becomes: 5 × 170 = 850, which is true.

Therefore, our answer is verified.