Предмет: Математика, автор: Красавица56789

вишню разложили в три корзины.в первую корзину положили 1/3 всей вишнм во вторую 0,4 всей вишни. а в третью остальные 20 кг.сколько вишни было?

Ответы

Автор ответа: KattyPaw

5

Примем количество всей вишни за Х. Итого - в первой корзине 1/3Х, во второй - 0,4Х, а в третьей - 20 кг. Составляем уравнение: 1/3Х + 0,4Х + 20 = Х - И решаем его:
20 = Х - 1/3Х - 4/10Х
20 = 30/30Х - 10/30Х - 12/30Х
20 = 8/30Х
20 = 4/15Х
Х = 20 : 4/15
Х = 75 кг
Задача решена) Ответ: 75 кг - вся вишня
Проверка:
1/3Х = 1/3 * 75 = 25 кг (первая корзина)
0,4Х = 0,4 * 75 = 30 кг (вторая корзина)
20 кг (третья корзина)
25 + 30 + 20 = 75 кг

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