Question

Одна пустая бутылка стоит 7 рублей,а бутылка с лимонадом 55 рублей.Саша и Маша сдали 8 пустых бутылок купили 8 бутылок с лимонадом,Сколько денег они заплатили.Решите задачу разными способами.

Answer 1

1 пуст бутылка-7 руб
1 бут с лимонадом- 55 руб
сдали- 8 пуст
купили - 8 бут с лимон
заплатили-?руб
55 умножить на 8=440 руб
ответ они патратили 440 руб

Answer 2

8*7=49  8*55=440 440-49= 391 руб. заплатили     

Answer 3

Problem Statement

Саша и Маша сдали 8 пустых бутылок и купили 8 бутылок с лимонадом. Одна пустая бутылка стоит 7 рублей, а бутылка с лимонадом стоит 55 рублей. Сколько денег они заплатили?

Solution 1: Using Basic Arithmetic

To solve this problem, we can calculate the total cost of the empty bottles and the cost of the bottles with lemonade separately, and then add them together to find the total amount paid.

1. The cost of 8 empty bottles: 8 * 7 = 56 rubles. 2. The cost of 8 bottles with lemonade: 8 * 55 = 440 rubles. 3. Total amount paid: 56 + 440 = 496 rubles.

Therefore, Sasha and Masha paid 496 rubles in total.

Solution 2: Using Algebraic Equations

We can also solve this problem using algebraic equations.

Let's assume the cost of an empty bottle is 'x' rubles and the cost of a bottle with lemonade is 'y' rubles.

According to the problem statement: 1. The cost of 8 empty bottles is 8x rubles. 2. The cost of 8 bottles with lemonade is 8y rubles.

We are given that: 1. The cost of an empty bottle is 7 rubles, so x = 7. 2. The cost of a bottle with lemonade is 55 rubles, so y = 55.

Using these values, we can calculate the total amount paid: Total amount paid = 8x + 8y = 8 * 7 + 8 * 55 = 56 + 440 = 496 rubles.

Therefore, Sasha and Masha paid 496 rubles in total.

Solution 3: Using Proportions

Another way to solve this problem is by setting up a proportion between the cost of an empty bottle and the cost of a bottle with lemonade.

Let's assume the cost of an empty bottle is 'x' rubles and the cost of a bottle with lemonade is 'y' rubles.

According to the problem statement: 1. The cost of an empty bottle is 7 rubles, so x = 7. 2. The cost of a bottle with lemonade is 55 rubles, so y = 55.

We can set up the following proportion: Empty bottle cost / Bottle with lemonade cost = Number of empty bottles / Number of bottles with lemonade

Substituting the given values: 7 / 55 = 8 / x

Cross-multiplying: 7x = 55 * 8

Simplifying: 7x = 440

Dividing both sides by 7: x = 440 / 7 = 62.857

Since we are dealing with money, we round the value of x to the nearest ruble: x ≈ 63

Therefore, the cost of an empty bottle is approximately 63 rubles.

To find the total amount paid, we can calculate the cost of 8 empty bottles and 8 bottles with lemonade: Total amount paid = (Cost of 8 empty bottles) + (Cost of 8 bottles with lemonade) = 8 * 63 + 8 * 55 = 504 + 440 = 944 rubles.

Therefore, Sasha and Masha paid 944 rubles in total.

Conclusion

Sasha and Masha paid a total of 496 rubles (Solution 1), 496 rubles (Solution 2), or 944 rubles (Solution 3) for 8 empty bottles and 8 bottles with lemonade.