Question

Построй математическую модель: в магазин привезли 180 кг бананов персиков и апельсинов бананов было в 4 раза больше чем персиков а апельсинов- 55кг сколько бананов привезли в магазин

Answer 1

180 * 4 =  3 120
3 120 : 55 

Answer 2

Mathematical Model: Calculating the Number of Bananas

To solve this problem, we can set up a system of equations based on the given information. Let's denote the number of bananas as 'b', the number of peaches as 'p', and the number of oranges as 'o'.

From the information given, we know the following: - The total weight of bananas, peaches, and oranges is 180 kg. - The weight of bananas is 4 times the weight of peaches. - The weight of oranges is 55 kg.

We can express these relationships mathematically as follows:

Equation 1: b + p + o = 180 (total weight equation) Equation 2: b = 4p (banana weight equation) Equation 3: o = 55 (orange weight equation)

To find the number of bananas, we need to solve this system of equations.

Solving the System of Equations

Substituting Equation 2 and Equation 3 into Equation 1, we can eliminate 'p' and 'o' to solve for 'b':

4p + p + 55 = 180 5p + 55 = 180 5p = 180 - 55 5p = 125 p = 125 / 5 p = 25

Now that we have the value of 'p', we can substitute it back into Equation 2 to find the number of bananas:

b = 4p b = 4 * 25 b = 100

Therefore, the number of bananas brought to the store is 100.

Answer

The store received 100 kg of bananas.