Question

Решите задачи несколькими способами1 задача за то время что шарик прожил в городе он услышал 22 английских слова столько же испанских а французских слов на 11 больше чем английский и испанский вместе Сколько всего английский испанский французских слов услышал шарик

Answer 1

22+22=44(сл.) - английских и испанских
44+11=55(сл.) - французских
44+55=99(со.) - всего

Answer 2

Problem Analysis

We are given that a ball heard 22 English words, the same number of Spanish words, and 11 more French words than the combined total of English and Spanish words. We need to determine the total number of English, Spanish, and French words that the ball heard.

Solution

Let's assume the number of English words heard by the ball is x. Since the ball heard the same number of Spanish words, the number of Spanish words heard is also x. The number of French words heard is 11 more than the combined total of English and Spanish words, which is 2x.

To find the total number of words heard by the ball, we need to add the number of English, Spanish, and French words together.

Solution Method 1: Algebraic Approach

Let's solve the problem using algebraic equations.

Let's represent the number of English words heard by the ball as x.

According to the problem, the number of Spanish words heard is also x.

The number of French words heard is 11 more than the combined total of English and Spanish words, which is 2x.

To find the total number of words heard, we add the number of English, Spanish, and French words together:

Total words = English words + Spanish words + French words

Total words = x + x + (2x + 11)

Simplifying the equation:

Total words = 4x + 11

Now, we can substitute the value of Total words with 22 (since the ball heard 22 words) and solve for x:

22 = 4x + 11

4x = 22 - 11

4x = 11

x = 11/4

x = 2.75

Since we cannot have a fraction of a word, we need to round the value of x to the nearest whole number. Therefore, the number of English words heard by the ball is 3.

To find the total number of words, we substitute the value of x into the equation for Total words:

Total words = 4x + 11

Total words = 4(3) + 11

Total words = 12 + 11

Total words = 23

Therefore, the ball heard a total of 23 words, consisting of 3 English words, 3 Spanish words, and 17 French words.

Solution Method 2: Trial and Error

Another way to solve the problem is through trial and error.

We know that the number of English words heard is the same as the number of Spanish words, and the number of French words is 11 more than the combined total of English and Spanish words.

Let's start by assuming a number for the English words heard. We'll start with 1 and increase it until we find a combination that satisfies the given conditions.

Assuming 1 English word: - The number of Spanish words heard is also 1. - The number of French words heard is 11 more than the combined total of English and Spanish words, which is 2.

This combination does not satisfy the condition that the ball heard 22 words.

Assuming 2 English words: - The number of Spanish words heard is also 2. - The number of French words heard is 11 more than the combined total of English and Spanish words, which is 4.

This combination does not satisfy the condition that the ball heard 22 words.

Assuming 3 English words: - The number of Spanish words heard is also 3. - The number of French words heard is 11 more than the combined total of English and Spanish words, which is 6.

This combination satisfies the condition that the ball heard 22 words.

Therefore, the ball heard a total of 23 words, consisting of 3 English words, 3 Spanish words, and 17 French words.

Conclusion

The ball heard a total of 23 words, consisting of 3 English words, 3 Spanish words, and 17 French words.

Note: The solution provided above is based on the information given in the problem statement. The sources provided do not contain specific information related to this problem.