Question

Реши задачу. Сколько в магазине апельсинов,мандаринов и лимонов по отдельности,если всего их 478 штук? Мандаринов и апельсинов вместе 322 штуки, лимонов и апельсинов 201 штука.

Answer 1

478-322=156шт (лим)
201-156=45шт (ман)
322-45=277шт (апел )
Ответ :А-277шт
           М-45 шт
           Л-156 шт
277+45+156=478

Answer 2

322-201=121(шт)апельсинов
201-121=80(шт) лимонов
478-121=357(шт)мандаринов и лимонов вместе
357-80=277(шт) мандаринов

проверка 121+80+277=478

Answer 3

Problem Analysis

We are given the total number of oranges, mandarins, and lemons in a store, as well as the combined quantities of mandarins and oranges, and the combined quantities of lemons and oranges. We need to determine the individual quantities of each fruit.

Solution

Let's assume the number of oranges is represented by O, the number of mandarins is represented by M, and the number of lemons is represented by L.

From the given information, we can form the following equations:

1. O + M + L = 478 (equation 1) - The total number of fruits is 478. 2. M + O = 322 (equation 2) - The combined quantity of mandarins and oranges is 322. 3. L + O = 201 (equation 3) - The combined quantity of lemons and oranges is 201.

To solve these equations, we can use substitution or elimination method. Let's use the elimination method.

Solving the Equations

To eliminate the variable O, we can subtract equation 2 from equation 1:

O + M + L - (M + O) = 478 - 322

Simplifying the equation:

L = 156 (equation 4)

Now, let's eliminate the variable O again by subtracting equation 3 from equation 1:

O + M + L - (L + O) = 478 - 201

Simplifying the equation:

M = 277 (equation 5)

Final Solution

From equations 4 and 5, we have:

L = 156 - The number of lemons is 156. M = 277 - The number of mandarins is 277.

To find the number of oranges, we can substitute the values of M and L into equation 1:

O + 277 + 156 = 478

Simplifying the equation:

O = 45 - The number of oranges is 45.

Therefore, the individual quantities of fruits are as follows: - Oranges: 45 - Mandarins: 277 - Lemons: 156

Answer

The store has 45 oranges, 277 mandarins, and 156 lemons.