Question

Купили 68 кг.фруктов.Масса яблок и апельсинов 49 кг,масса апельсинов и груш 31кг.Чему равна масса яблок,масса апельсинов и масса груш?

Answer 1

68-49=19 груша
31-19=12 апельсин
68-31=37 яблока

Answer 2

Calculating the Mass of Apples, Oranges, and Pears

To calculate the mass of apples, oranges, and pears, we can use the given information about the total mass of fruits and the combined masses of different pairs of fruits.

Let's denote: - Mass of apples as A - Mass of oranges as O - Mass of pears as P

Given: - Total mass of fruits = 68 kg - Mass of apples and oranges = 49 kg - Mass of oranges and pears = 31 kg

We can set up the following system of equations to solve for the masses of the individual fruits:

1. A + O + P = 68 (Total mass of fruits) 2. A + O = 49 (Mass of apples and oranges) 3. O + P = 31 (Mass of oranges and pears)

We can solve this system of equations to find the individual masses.

Solution

Using the given equations, we can solve for the masses of the individual fruits:

From equation 2 (A + O = 49), we can express A as A = 49 - O.

Substituting A = 49 - O into equation 1 (A + O + P = 68), we get: (49 - O) + O + P = 68 49 + P = 68 P = 68 - 49 P = 19

So, the mass of pears (P) is 19 kg.

Substituting P = 19 into equation 3 (O + P = 31), we get: O + 19 = 31 O = 31 - 19 O = 12

So, the mass of oranges (O) is 12 kg.

Finally, substituting O = 12 into equation 2 (A + O = 49), we get: A + 12 = 49 A = 49 - 12 A = 37

So, the mass of apples (A) is 37 kg.

Conclusion

The mass of apples is 37 kg, the mass of oranges is 12 kg, and the mass of pears is 19 kg.