Пусть х - количество рядов в синем зале, тогда (х + 2) - количество рядов в пурпурном зале, но в каждом ряду на 4 места меньше. Уравнение:
648/х - 640/(х+2) = 4
648 · (х + 2) - 640 · х = 4 · х · (х + 2)
648х + 1296 - 640х = 4х² + 8х
8х + 1296 = 4х² + 8х
1296 = 4х² + 8х - 8х
4х² = 1296
х² = 1296 : 4
х² = 324
х = √324
х = 18 - количество рядов в синем зале
18 + 2 = 20 - количество рядов в пурпурном зале
ответ: 18 рядов и 20 рядов.
Проверка:
640 : 20 = 32 - количество мест в одном ряду в пурпурном зале
648 : 18 = 36 - количество мест в одном ряду в синем зале
36 - 32 = 4 - на столько меньше мест в одном ряду пурпурного зала
ЖЕДАЛЙАШОВАПРЫГНРМ ВППЦКП
Объяснение:
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