Question

Оля выучила четверть всех слов.Если бы она выучила ещё 4 слова, то была бы выучена треть всех слов .Сколько слов надо было выучить Оле?

Answer 1

Пусть х сл - всегод

Тогда х/4 сл - выучила

 

$\frac{x}{4}+4=\frac{x}{3}$ 

$3x+48=4x$ 

$x=48$ 

Ответ: Надо было выучить 48 слов 

Answer 2

Calculating the Number of Words Olya Needed to Learn

To solve this problem, we can use algebra to represent the given information and find the number of words Olya needed to learn.

Let's assume the total number of words is represented by W.

1. Olya learned a quarter of all the words, which can be represented as 1/4 * W. 2. If she learned 4 more words, she would have learned a third of all the words, which can be represented as (1/4 * W) + 4 = 1/3 * W.

Now, we can solve for W to find the total number of words Olya needed to learn.

Calculating the Number of Words Olya Needed to Learn

To solve this problem, we can use algebra to represent the given information and find the number of words Olya needed to learn.

Let's assume the total number of words is represented by W.

1. Olya learned a quarter of all the words, which can be represented as 1/4 * W. 2. If she learned 4 more words, she would have learned a third of all the words, which can be represented as (1/4 * W) + 4 = 1/3 * W.

Now, we can solve for W to find the total number of words Olya needed to learn.

1. Setting up the equation: - Olya learned a quarter of all the words: 1/4 * W - If she learned 4 more words, she would have learned a third of all the words: (1/4 * W) + 4 = 1/3 * W

2. Solving for W: - Subtracting 1/4 * W from both sides of the equation: 4 = 1/3 * W - 1/4 * W - Finding a common denominator and simplifying: 4 = 12/36 * W - 9/36 * W - Combining like terms: 4 = 3/36 * W - Multiplying both sides by 36 to solve for W: W = 36 * 4 / 3 - Calculating the value of W: W = 48

Therefore, Olya needed to learn 48 words in total.