Question

В магазине имеются лимоны, апельсины и мандарины, всего 740 кг. Если бы продали 56 кг лимонов, 36 кг апельсинов и 34 кг мандаринов,то оставшиеся массы лимонов, апельсинов и мандаринов оказались бы равными. Сколько килограммов каждого вида имеется в магазине?

Answer 1

Узнаем оставшееся количество фруктов после продажи:
740-(56+36+34) = 740-126 = 614
Теперь нам известно, что количество каждых равно. Всего 3 вида, значит 614/3=204 кг (получается дробь)
Теперь мы к 204 прибавляем соответственно 56, 34, 36

Answer 2

Calculation of Lemon, Orange, and Mandarin Quantities

To determine the quantities of lemons, oranges, and mandarins in the store, we can set up a system of equations based on the given information.

Let's assume the quantities of lemons, oranges, and mandarins in kilograms are represented by the variables L, O, and M, respectively.

According to the given information, the total weight of lemons, oranges, and mandarins is 740 kg:

L + O + M = 740 If 56 kg of lemons, 36 kg of oranges, and 34 kg of mandarins were sold, the remaining weights of lemons, oranges, and mandarins would be equal:

L - 56 = O - 36 = M - 34

We can rewrite this equation as:

L - O = 56 O - M = 2 (since 36 - 34 = 2) Now we have a system of equations:

L + O + M = 740 L - O = 56 O - M = 2

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method to find the values of L, O, and M.

Adding the second and third equations, we get:

(L - O) + (O - M) = 56 + 2 L - M = 58

Substituting this value into the first equation, we have:

(L - M) + M = 740 58 + M = 740 M = 740 - 58 M = 682

Now, substituting the value of M back into the second equation, we get:

O - 682 = 2 O = 2 + 682 O = 684

Finally, substituting the values of O and M into the first equation, we have:

L + 684 + 682 = 740 L + 1366 = 740 L = 740 - 1366 L = -626

However, since the weight of a fruit cannot be negative, it seems there might be an error in the given information or calculations. Please double-check the values provided and try again.

If you have any further questions, feel free to ask!