Question

У Алины,Кристины и Вероники всего 678 книг.У Алины и Кристины вместе 421 книга,у Кристины и Вероники вместе 492 книги.Сколько книг у каждой девочки?

Answer 1

Решение во вложении))

Answer 2

Solution:

Let's solve this problem step by step.

1. Let's denote the number of books Alina has as A, the number of books Christina has as C, and the number of books Veronica has as V. 2. We are given the following information: - A + C + V = 678 (total number of books) - A + C = 421 (number of books Alina and Christina have together) - C + V = 492 (number of books Christina and Veronica have together)

Calculations:

1. From the given information, we can calculate the individual values for A, C, and V.

- We can start by finding the value of C: - From the equation A + C = 421, we can express A as 421 - C. - Next, we can find the value of V: - From the equation C + V = 492, we can express V as 492 - C. - Now, we can substitute the expressions for A and V into the equation A + C + V = 678: - (421 - C) + C + (492 - C) = 678 - Simplifying, we get: 913 - C = 678 - Solving for C, we find: C = 913 - 678 - Therefore, C = 235.

2. Now that we have the value of C, we can find the values of A and V: - A = 421 - 235 = 186 - V = 492 - 235 = 257

Conclusion:

So, the number of books each girl has is: - Alina (A): 186 books - Christina (C): 235 books - Veronica (V): 257 books