Известно, что 2\5 класса пошли в кино, 3\7 - на выставку. сколько учащихся в классе, если их меньше
40Ответы на вопрос
35! привести к общему знаменателю тоесть умножем на 7у 5 и 5 на 7 и получим
Calculating the Number of Students in the Class
To calculate the number of students in the class, we can use the given information that 2/5 of the class went to the cinema and 3/7 went to the exhibition. We'll use this information to find the total number of students in the class.
Let's denote the total number of students in the class as x.
Given: - 2/5 of the class went to the cinema. - 3/7 of the class went to the exhibition.
We can set up the following equations based on the given information:
1. The number of students who went to the cinema: (2/5)x 2. The number of students who went to the exhibition: (3/7)x
We know that the total number of students should be less than 40, so we can set up the inequality:
(2/5)x + (3/7)x < 40
Let's solve for x using this inequality.
(2/5)x + (3/7)x < 40
Solving for x
We'll solve the inequality to find the maximum value of x that satisfies the given conditions.(2/5)x + (3/7)x < 40
First, we'll find a common denominator for 5 and 7, which is 35.
(14/35)x + (15/35)x < 40
Now, we can combine the terms.
(29/35)x < 40
To isolate x, we'll multiply both sides by 35/29.
x < (40 * 35) / 29
x < 48.28
Since the number of students must be a whole number, the maximum number of students in the class is 48.
Therefore, if the number of students in the class is less than 40, and given the constraints, the maximum number of students in the class is 48. This satisfies the conditions provided.
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