Число посетителей сайта увеличилось за месяц вдвое. На сколько процентов увеличилось число посетителей сайта за этот месяц?
Решение
Пусть \(x\) — число посетителей сайта до увеличения и оно составляло \(100\%\). По условию, число посетителей сайта увеличилось вдвое, значит, их стало \(2x\), что составляет \(y\%\). Отсюда, можно составить пропорцию:
\(\displaystyle \frac{x}{2x}=\frac{100}{y};\)
\(xy=200x;\)
\(y=200.\)
Получилось, что посещаемость сайта стала \(200\%\), а была \(100\%\).
Значит, на \(200-100=100\%\) увеличилось число посетителей сайта за этот месяц.
Ответ: \(100\).
Источник: ЕГЭ 2021. Математика. Базовый уровень. 50 вариантов. Типовые варианты экзаменационных заданий. (вариант №21) (Купить книгу)
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