Question

У Али и Вали вместе 15 заколок, у Вали и Гали вместе 26 заколок, а у Али и Гали вместе 21 заколка. Сколько заколок у всех тех девочек вместе? Сколько заколок у каждой девочки?

Answer 1

А+В=15      ⇒   А=15-В  тогда  15-В+Г=21    ⇒    Г-В=6

В+Г=26                                                                       Г+В=26    ⇒  2Г=32    ⇒  Г=16

А+Г=21

 

 

В+16=26    ⇒   В=10

 

А+16=21     ⇒   А=5

 

 

 

А+В+Г=5+10+16=31

 

Ответ : у Гали 16 заколок,у Али 5 заколок,у Вали 10 заколок,а у них вместе 31 заколка

Answer 2

Solution:

Let's solve this problem step by step.

1. Total number of hairpins for Ali and Vali together: - Given: Ali and Vali together have 15 hairpins. - Let's denote the number of hairpins Ali has as "a" and the number of hairpins Vali has as "v". - So, we have the equation: a + v = 15.

2. Total number of hairpins for Vali and Gali together: - Given: Vali and Gali together have 26 hairpins. - Let's denote the number of hairpins Gali has as "g". - So, we have the equation: v + g = 26.

3. Total number of hairpins for Ali and Gali together: - Given: Ali and Gali together have 21 hairpins. - So, we have the equation: a + g = 21.

4. Solving the equations: - We can solve these equations simultaneously to find the values of a, v, and g.

5. Calculating the total number of hairpins for all three girls together: - Once we have the values of a, v, and g, we can calculate the total number of hairpins for all three girls together.

6. Calculating the number of hairpins for each girl: - After finding the total number of hairpins for all three girls, we can distribute them among Ali, Vali, and Gali.

Let's proceed with solving the equations to find the values of a, v, and g.

Solving the Equations:

We have the following system of equations: 1. a + v = 15 2. v + g = 26 3. a + g = 21

Adding all three equations together, we get: a + v + v + g + a + g = 15 + 26 + 21 2a + 2v + 2g = 62 a + v + g = 31

So, the total number of hairpins for all three girls together is 31.

Calculating the Number of Hairpins for Each Girl:

Now, we can distribute the total number of hairpins among Ali, Vali, and Gali.

Let's denote the number of hairpins Ali has as "a", the number of hairpins Vali has as "v", and the number of hairpins Gali has as "g".

We have: - Ali (a) = 13 - Vali (v) = 15 - Gali (g) = 16

So, the total number of hairpins for all three girls together is 31, and each girl has the following number of hairpins: - Ali: 13 hairpins - Vali: 15 hairpins - Gali: 16 hairpins