Question

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

Answer 1

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

Problem Analysis

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

Solution

Let's break down the problem step by step:

1. Calculate the mass of the waste: - The waste is 1/50 of the total mass of the carrots. - Therefore, the mass of the waste is (1/50) * 100 kg = 2 kg.

2. Calculate the mass of the cleaned carrots: - The total mass of the carrots is 100 kg. - Subtracting the mass of the waste, we get: 100 kg - 2 kg = 98 kg. - To express the mass in grams, we multiply by 1000: 98 kg * 1000 = 98,000 g.

3. Divide the mass of the cleaned carrots into three boxes: - In the first box, there are 40 packets. - In the second and third boxes, there are 30 packets each. - We need to find the mass of carrots in each box.

To find the mass of carrots in each box, we divide the total mass of the cleaned carrots by the total number of packets:

- Mass of carrots in the first box: 98,000 g / 40 packets = 2,450 g/packet. - Mass of carrots in the second and third boxes: 98,000 g / 30 packets = 3,266.67 g/packet.

Answer

The mass of carrots in each box is as follows: - The first box contains 2,450 grams of carrots. - The second and third boxes each contain 3,266.67 grams of carrots.

Please let me know if you need any further assistance!