Question

Апельсин и груша весят 630граммов груша и лимон 500граммов апельсин и лимон 470граммов сколько весит каждый из фруктов в отдельностирешение 2 способами!!!

Answer 1

А+Г=630 (г) (1)

Г+Л=500 (г) (2)

А+Л=470 (г) (3)

1 Способ.

Вычтем уз ур-я (1) ур-е (2), получим:

А+Г-Г-Л=630-500

А-Л=130, теперь сложим это уравнение с ур-ем (3):

А-Л+А+Л=130+470

2А=600

А=300 (г) - весит апельсин

Из ур-я (1): 

Г=630-А

Г=630-300

Г=330 (г) - весит груша

Из ур-я (2):

Л=500-Г=500-330=170 (г) - весит лимон

2 Способ:

Сложим все три уравнения:

А+Г+Г+Л+А+Л=630+500+470

2А+2Г+2Л=1600

2(А+Г+Л)=1600

А+Г+Л=800

1) 800-630=170 (г) - весит лимон

2) 800-500=300 (г) - весит апельсин

3) 800-470=330 (г) - весит груша

Answer 2

Solution 1: Using a System of Equations

Let's assume the weight of an orange is represented by the variable O and the weight of a pear is represented by the variable P.

From the given information, we can set up the following system of equations:

Equation 1: O + P = 630 (1) Equation 2: P + L = 500 (2) Equation 3: O + L = 470 (3)

Where L represents the weight of a lemon.

To solve this system of equations, we can use the method of substitution or elimination.

Using the method of substitution, we can solve Equation 1 for O and substitute it into Equations 2 and 3.

From Equation 1, we have O = 630 - P. Substituting this into Equations 2 and 3, we get:

Equation 2: (630 - P) + L = 500 (4) Equation 3: (630 - P) + L = 470 (5)

Now we have a system of two equations with two variables: P and L.

Subtracting Equation 4 from Equation 5, we get:

(630 - P) + L - [(630 - P) + L] = 470 - 500

Simplifying, we have:

0 = -30

This equation is not possible, which means there is no solution for this system of equations. Therefore, we cannot determine the individual weights of the fruits using this method.

Solution 2: Using Proportions

Let's assume the weight of an orange is represented by the variable O and the weight of a pear is represented by the variable P.

From the given information, we can set up the following proportions:

O + P = 630 (1) P + L = 500 (2) O + L = 470 (3)

To solve for the individual weights of the fruits, we can use the method of proportions.

From Equation 1, we can rewrite it as O = 630 - P.

Substituting this into Equations 2 and 3, we get:

P + L = 500 (4) (630 - P) + L = 470 (5)

Now we have a system of two equations with two variables: P and L.

Simplifying Equation 5, we have:

630 - P + L = 470

Rearranging the equation, we get:

P + L = 630 - 470 P + L = 160 (6)

Now we have two equations with the same left-hand side:

P + L = 500 (4) P + L = 160 (6)

Since the left-hand sides of both equations are the same, the right-hand sides must also be the same:

500 = 160

This equation is not possible, which means there is no solution for this system of equations. Therefore, we cannot determine the individual weights of the fruits using this method either.

In conclusion, based on the given information, we cannot determine the individual weights of the orange, pear, and lemon separately using either the system of equations or proportions.