
овощном магазине всего 330 килограмм яблок и груш 410 килограмм яблок и апельсинов и 320
килограммов груш и апельсинов сколько килограммов фруктов каждого вида в магазине

Ответы на вопрос




Problem Analysis
We are given the following information about a vegetable store: - The store has a total of 330 kilograms of apples and pears. - The store has a total of 410 kilograms of apples, oranges, and pears. - The store has a total of 320 kilograms of pears and oranges.
We need to determine the weight of each type of fruit in the store.
Solution
Let's assign variables to represent the weight of each type of fruit: - Let A represent the weight of apples. - Let P represent the weight of pears. - Let O represent the weight of oranges.
We can set up a system of equations based on the given information:
Equation 1: A + P = 330 (total weight of apples and pears) Equation 2: A + O + P = 410 (total weight of apples, oranges, and pears) Equation 3: P + O = 320 (total weight of pears and oranges)
We can solve this system of equations to find the values of A, P, and O.
Solving the System of Equations
To solve the system of equations, we can use substitution or elimination. Let's use the elimination method.
Subtracting Equation 3 from Equation 2, we get:
(A + O + P) - (P + O) = 410 - 320
Simplifying, we have:
A = 90
Now, we can substitute the value of A into Equation 1:
90 + P = 330
Simplifying, we have:
P = 240
Finally, we can substitute the values of A and P into Equation 3:
240 + O = 320
Simplifying, we have:
O = 80
Answer
Therefore, the weight of each type of fruit in the store is as follows: - Apples: 90 kilograms - Pears: 240 kilograms - Oranges: 80 kilograms
Please note that the given information does not specify the weight of each fruit individually. The solution above assumes that the weight of each fruit is distributed evenly within its category (e.g., the weight of apples is evenly distributed among all the apples in the store).


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