Question

1.Туристы были в пути 3 дня. В первый день они преодолели 36% всего расстояния, во второй 52% оставшегося, а в третий – 54 км. Найдите длину всего пути. 2.Поле, площадью 18 га вспахали за 3 дня. В первый день вспахали 35% всего поля, а во второй 40% оставшейся площади. Сколько гектаров вспахали в третий день? 3.Картофель, закупленный предпринимателем, был продан в три магазина. В первый магазин было продано 25% всего картофеля, во второй – 60% остатка, а в третий остальные 1,5 т. Определите массу картофеля, закупленного предпринимателем.

Answer 1

2 задача 18/100*35=6,3 га вспахали в первый день
18-6,3=11,7 га осталось

11,7/100*40=4,68 га вспахали во второй день

11,7-4,68=7,02 га вспахали в третий день                                                            1 задача1) 100%-52%=48% составляют 54 км 
2) (54х100)648= 112.5 (км) - оставшийся путь после первого дня 
3) 112,5х36 : 100+ 40,5 (км) прошли за первый день 
4) 112,5+ 40,5= 153 (км) прошли туристы за три дня 

3 задача Первый магазин - 25% 
Второй магазин - 60% от 75%, 75*0,6=45% 
Третий магазин 100-25-45=30% или 1,5 тонны. 
Отсюда 30% - 1,5 т 
100% - х 
х=1,5:30*100=5 тонн 
Ответ. Всего было 5 тонн картофеля.

Answer 2

Task 1: Finding the total distance traveled by tourists

To find the total distance traveled by the tourists, we need to calculate the distance covered on each day and then sum them up.

Let's assume the total distance is represented by D.

On the first day, the tourists covered 36% of the total distance. On the second day, they covered 52% of the remaining distance. On the third day, they covered 54 km.

To calculate the total distance, we can set up the following equation:

0.36D + 0.52(0.64D) + 54 = D

Simplifying the equation:

0.36D + 0.3328D + 54 = D

0.6928D + 54 = D

0.3072D = 54

D = 54 / 0.3072

D ≈ 175.78125 km

Therefore, the total distance traveled by the tourists is approximately 175.78125 km..

Task 2: Finding the area plowed on the third day

To find the area plowed on the third day, we need to calculate the area plowed on each day and subtract it from the total area.

Let's assume the total area is represented by A.

On the first day, 35% of the total area was plowed. On the second day, 40% of the remaining area was plowed.

To calculate the area plowed on the third day, we can set up the following equation:

A - 0.35A - 0.4(0.65A) = Area plowed on the third day

Simplifying the equation:

A - 0.35A - 0.26A = Area plowed on the third day

0.39A = Area plowed on the third day

Therefore, the area plowed on the third day is approximately 0.39A.

Since the total area is given as 18 hectares, the area plowed on the third day is approximately:

0.39 * 18 hectares ≈ 7.02 hectares.

Therefore, approximately 7.02 hectares were plowed on the third day..

Task 3: Finding the mass of potatoes purchased by the entrepreneur

To find the mass of potatoes purchased by the entrepreneur, we need to calculate the amount of potatoes sold in each store and sum them up.

Let's assume the total mass of potatoes purchased is represented by M.

In the first store, 25% of the total potatoes were sold. In the second store, 60% of the remaining potatoes were sold. In the third store, the remaining 1.5 tons (1500 kg) were sold.

To calculate the mass of potatoes purchased, we can set up the following equation:

0.25M + 0.6(0.75M) + 1500 kg = M

Simplifying the equation:

0.25M + 0.45M + 1500 kg = M

0.7M + 1500 kg = M

0.3M = 1500 kg

M = 1500 kg / 0.3

M = 5000 kg

Therefore, the mass of potatoes purchased by the entrepreneur is 5000 kg..