Question

Привезли 100кг моркови.При обработке (чистке) моркови отходы составили 1/50 всей массы.Очищенную морковь расфасовали в одинаковые пакеты и уложили в коробки:в первую коробку 40 пакетов,а во вторую и третью-по 30 пакетов.Чему равна масса моркови в каждой коробке?(Решая задачу выразите массу очищенной моркови в граммах)

Answer 1

Решение:
1. 100 : 50 = 2 (кг, маса отходов)
2. 100 - 2 = 98 (кг) = 98 000 (грамм, всего чистой моркови)
3. 40 + 30 + 30 = 100 (всего пакетов)
4. 98000 : 100 = 980 (грамм в каждом пакете)
5. 980 · 40 = 39 200 (грамм моркови в первой коробке)
6. 980 · 30 = 29 400 (грамм моркови во второй и столько же в третьей коробке)

Answer 2

1) 100-(100х1/50)=98 кг
2) 98/100=0.98 кг
3) 40х0.98=39.2 кг
4) 30х0.98=29.4 кг
5) 39.4х1000=39400 г (1 коробка)
6) 29.4х1000=29400 г (2,3 коробки)

Answer 3

Problem Analysis

To solve this problem, we need to find the mass of the carrots in each box. We are given that 100 kg of carrots were brought, and the waste after processing (cleaning) the carrots was 1/50 of the total mass. The cleaned carrots were then divided into three boxes, with 40 packets in the first box and 30 packets in the second and third boxes.

Solution

Let's calculate the mass of the waste first. We know that the waste is 1/50 of the total mass of the carrots. Therefore, the mass of the waste is:

Mass of waste = (1/50) * 100 kg

To find the mass of the cleaned carrots, we subtract the mass of the waste from the total mass of the carrots:

Mass of cleaned carrots = Total mass of carrots - Mass of waste

Now, let's calculate the mass of the cleaned carrots:

Mass of cleaned carrots = 100 kg - (1/50) * 100 kg

Simplifying the equation:

Mass of cleaned carrots = 100 kg - 2 kg = 98 kg

Next, we need to find the mass of the carrots in each box. We know that the cleaned carrots were divided into three boxes, with 40 packets in the first box and 30 packets in the second and third boxes.

Let's assume the mass of the carrots in each packet is the same. Therefore, the mass of the carrots in each packet is:

Mass of carrots in each packet = Mass of cleaned carrots / Total number of packets

The total number of packets is calculated by summing the number of packets in each box:

Total number of packets = 40 packets + 30 packets + 30 packets = 100 packets

Now, let's calculate the mass of the carrots in each packet:

Mass of carrots in each packet = 98 kg / 100 packets

Converting the mass to grams:

Mass of carrots in each packet = 98,000 g / 100 packets

Finally, let's calculate the mass of the carrots in each box. We know that the first box has 40 packets, and the second and third boxes have 30 packets each.

The mass of the carrots in the first box is:

Mass of carrots in the first box = Mass of carrots in each packet * Number of packets in the first box

The mass of the carrots in the second and third boxes is:

Mass of carrots in the second and third boxes = Mass of carrots in each packet * Number of packets in the second and third boxes

Now, let's calculate the mass of the carrots in each box:

Mass of carrots in the first box = (98,000 g / 100 packets) * 40 packets

Mass of carrots in the second and third boxes = (98,000 g / 100 packets) * 30 packets

Simplifying the equations:

Mass of carrots in the first box = 39,200 g

Mass of carrots in the second and third boxes = 29,400 g

Therefore, the mass of the carrots in each box is as follows: - The first box contains 39,200 grams of carrots. - The second and third boxes each contain 29,400 grams of carrots.

Answer

The mass of the carrots in each box is as follows: - The first box contains 39,200 grams of carrots. - The second and third boxes each contain 29,400 grams of carrots.