Вес мальчика составлял 1/11 веса всего класса. После того как мальчик похудел на 6 килограммов, его
вес стал составлять 1/13 веса всего класса. Сколько изначально весил весь класс?Ответы на вопрос
Ответ:
429 кг
Пошаговое объяснение:
x=1/11y;
x-6=1/13y;
1/11y-6=1/13y
2/143y=6
y=429
Ответ:
134
Пошаговое объяснение:
патамушта
Problem Analysis
We are given that the weight of a boy initially constituted 1/11 of the weight of the entire class. After losing 6 kilograms, the boy's weight became 1/13 of the weight of the entire class. We need to determine the initial weight of the entire class.Solution
Let's assume the initial weight of the entire class is represented by x kilograms. According to the given information, the weight of the boy initially constituted 1/11 of the weight of the entire class, so we can write the equation:Boy's initial weight = (1/11) * x
After losing 6 kilograms, the boy's weight became 1/13 of the weight of the entire class, so we can write another equation:
Boy's weight after losing 6 kilograms = (1/13) * (x - 6)
To find the initial weight of the entire class, we need to solve these two equations simultaneously.
Let's solve the equations:
(1/11) * x = (1/13) * (x - 6)
To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of 11 and 13, which is 143:
143 * (1/11) * x = 143 * (1/13) * (x - 6)
Simplifying the equation:
13x = 11(x - 6)
Expanding the equation:
13x = 11x - 66
Bringing like terms together:
13x - 11x = -66
Simplifying:
2x = -66
Dividing both sides by 2:
x = -33
Since the weight of the class cannot be negative, we can conclude that there is an error in the given information or the problem statement.
Therefore, it is not possible to determine the initial weight of the entire class based on the given information.
Please note that the given information does not provide enough details to solve the problem.
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