Question

альбомы и краски вместе стоят 36 рублей,альбомы и блокноты 28 рублей,а краски и блокноты 14 рублей.сколько стоит каждый предмет?

Answer 1

а+к=36(1)

а+б=28(2)

к+б=14(3)

Сложим равенства и получим: 2а+2к+2б=78, откуда а+б+к=39.(4)

(4)-(1): б=39-36=3 (руб.) - блокнот

(4)-(2): к=39-28=11(руб) - краски

(4)-(3): а=39-14=25(руб.) - альбом 

Answer 2

А+К=36

А+Б=28

К+Б=14

 

2А+2К+2Б=78 рублей

А+К+Б=39 рублей

 

39-36=3 рубля стоят блокноты

39-28=11 рублей стоят краски

39-14=25 рублей стоят альбомы

Answer 3

Problem Analysis

We are given the following information: - The cost of albums and paints together is 36 rubles. - The cost of albums and notebooks together is 28 rubles. - The cost of paints and notebooks together is 14 rubles.

We need to find the cost of each item individually.

Solution

Let's assume the cost of albums is A rubles, the cost of paints is P rubles, and the cost of notebooks is N rubles.

From the given information, we can form the following equations:

1. A + P = 36 (equation 1) 2. A + N = 28 (equation 2) 3. P + N = 14 (equation 3)

To solve these equations, we can use a method called substitution. We'll solve equation 1 for A and substitute it into equations 2 and 3.

From equation 1, we have A = 36 - P.

Substituting this value of A into equations 2 and 3, we get:

36 - P + N = 28 (equation 4) P + N = 14 (equation 5)

Now we have a system of two equations with two variables (P and N). We can solve this system to find the values of P and N.

Subtracting equation 5 from equation 4, we get:

36 - P + N - (P + N) = 28 - 14 36 - 2P = 14

Simplifying further:

-2P = 14 - 36 -2P = -22

Dividing both sides by -2:

P = -22 / -2 P = 11

Substituting the value of P into equation 5, we get:

11 + N = 14

Simplifying further:

N = 14 - 11 N = 3

Now we have the values of P and N. Substituting these values into equation 1, we can find the value of A:

A + 11 = 36

Simplifying further:

A = 36 - 11 A = 25

Therefore, the cost of albums is 25 rubles, the cost of paints is 11 rubles, and the cost of notebooks is 3 rubles.

Answer

The cost of each item is as follows: - Albums: 25 rubles - Paints: 11 rubles - Notebooks: 3 rubles

Please note that the given information does not specify the currency, so we assume it is in rubles based on the context.