Question

В магазин привезли 18ящиков с яблоками и 15 ящиков с грушами.Масса всех груш на 36кг меньше массы яблок.Сколько всего кг яблок и груш привезли в магазин? Решить арефметическим способо!(примерами)

Answer 1

Я-18ящиков - x+36
Г-15ящиков - x
18x+36=15x
3x=36
x=12
18×12=216
15×12=180
216+180=396
Ответ:396кг

Answer 2

Problem Analysis

To solve this problem, we need to find the total weight of the apples and pears that were brought to the store. We are given that there are 18 boxes of apples and 15 boxes of pears. Additionally, the weight of all the pears is 36 kg less than the weight of all the apples.

Solution

Let's assume the weight of one box of apples is A kg and the weight of one box of pears is P kg.

We know that there are 18 boxes of apples, so the total weight of the apples is 18A kg.

Similarly, there are 15 boxes of pears, so the total weight of the pears is 15P kg.

According to the given information, the weight of all the pears is 36 kg less than the weight of all the apples. Mathematically, we can represent this as:

Weight of all pears = Weight of all apples - 36

So, we have the equation:

15P = 18A - 36

To solve this equation, we need to find the values of A and P.

Let's solve this equation step by step:

1. Multiply both sides of the equation by 2 to eliminate the fraction:

30P = 36A - 72

2. Rearrange the equation to isolate P:

30P - 36A = -72

3. Divide both sides of the equation by 6 to simplify:

5P - 6A = -12

Now, we have one equation with two variables. We need another equation to solve for A and P.

Let's use the information that the weight of all the apples is 36 kg more than the weight of all the pears:

Weight of all apples = Weight of all pears + 36

Mathematically, we can represent this as:

18A = 15P + 36

To solve this equation, we need to find the values of A and P.

Let's solve this equation step by step:

1. Divide both sides of the equation by 3 to simplify:

6A = 5P + 12

Now, we have two equations with two variables:

Equation 1: 5P - 6A = -12

Equation 2: 6A = 5P + 12

We can solve this system of equations using substitution or elimination. Let's use the elimination method:

1. Multiply Equation 1 by 6 and Equation 2 by 5 to eliminate A:

Equation 1: 30P - 36A = -72

Equation 2: 30A = 25P + 60

2. Add the two equations together:

30P - 36A + 30A = -72 + 25P + 60

Simplifying the equation:

30P - 6A = 25P - 12

3. Subtract 25P from both sides of the equation:

30P - 25P - 6A = -12

Simplifying the equation:

5P - 6A = -12

This is the same equation as Equation 1. Therefore, we have infinitely many solutions for A and P.

In conclusion, we cannot determine the exact values of A and P without additional information. However, we can say that the total weight of the apples and pears brought to the store is equal to the weight of all the apples, which is 18A kg.

Please note that the given problem may have missing or incomplete information, as the equations do not have a unique solution.

Let me know if you need any further assistance!