Question

виноград при сушке теряет день по 1/20 своей массы Если через 3 дня его масса составляет 1200 кг найдите массу винограда на пятый день​

Answer 1

Всего 400 кг останется при сушилке 5 дней

Answer 2

Calculation of Grape Mass

According to the given information, grapes lose 1/20th of their mass each day during the drying process. If the mass of the grapes is 1200 kg after 3 days, we can calculate the mass of the grapes on the fifth day.

Let's break down the calculation step by step:

1. On the first day, the grapes lose 1/20th of their mass. 2. On the second day, the grapes lose another 1/20th of their mass. 3. On the third day, the grapes lose another 1/20th of their mass. 4. On the fourth day, the grapes lose another 1/20th of their mass. 5. On the fifth day, the grapes lose another 1/20th of their mass.

To find the mass of the grapes on the fifth day, we need to subtract the total mass lost over the first four days from the initial mass of 1200 kg.

Let's calculate the mass of the grapes on the fifth day:

1. Mass lost on the first day: 1/20 * 1200 kg = 60 kg 2. Mass lost on the second day: 1/20 * (1200 kg - 60 kg) = 57 kg 3. Mass lost on the third day: 1/20 * (1200 kg - 60 kg - 57 kg) = 54.15 kg 4. Mass lost on the fourth day: 1/20 * (1200 kg - 60 kg - 57 kg - 54.15 kg) = 51.34 kg 5. Mass lost on the fifth day: 1/20 * (1200 kg - 60 kg - 57 kg - 54.15 kg - 51.34 kg) = 48.82 kg

To find the mass of the grapes on the fifth day, we subtract the total mass lost over the first four days from the initial mass of 1200 kg:

Mass of grapes on the fifth day = 1200 kg - (60 kg + 57 kg + 54.15 kg + 51.34 kg + 48.82 kg)

Mass of grapes on the fifth day = 928.69 kg