Question

садоводы собрали 48 тонн груш трёх сортов,масса груш первого сорта состаляет 5/12 массы всех груш а масса груш второго сорта на 4 тонны меньше чем первого,масса груш третьего сорта 3/4 массы груш второго сорта сколько тонн груш каждого сорта собрали?

Answer 1

Ответ: всего 48 тонн или же 12/12

Груши 1 сорта это 5/12 найдём чему ровна 1/12 =48/12=4 следовательно груши 1 сорта это ничто иное как 4*5=20 тоннам груши 2 сорта на 4 тонны меньше первой значит 20-4=16 тонн груши третьего сорта составляют 3/4 от массы второго сорта следовательно груши третьего сорта равны 16:4=4*3=12тоннам

Ответ: 1сорт 20 тонн

2 сорт 16 тонн

3 сори 12 тонн

Answer 2

Problem Analysis

We are given that a group of gardeners collected 48 tons of pears of three different varieties. The weight of pears of the first variety is 5/12 of the total weight of all pears. The weight of pears of the second variety is 4 tons less than the weight of pears of the first variety. The weight of pears of the third variety is 3/4 of the weight of pears of the second variety. We need to determine the weight of pears for each variety.

Solution

Let's denote the weight of pears of the first variety as x tons. According to the given information, the weight of pears of the second variety is 4 tons less than the weight of pears of the first variety, so it is x - 4 tons. The weight of pears of the third variety is 3/4 of the weight of pears of the second variety, so it is (3/4)(x - 4) tons.

We know that the total weight of all pears is 48 tons. Therefore, we can write the equation:

x + (x - 4) + (3/4)(x - 4) = 48

Now, let's solve this equation to find the value of x.

Calculation

x + (x - 4) + (3/4)(x - 4) = 48

Multiplying through by 4 to eliminate the fraction:

4x + 4(x - 4) + 3(x - 4) = 192

Simplifying:

4x + 4x - 16 + 3x - 12 = 192

11x - 28 = 192

Adding 28 to both sides:

11x = 220

Dividing both sides by 11:

x = 20

So, the weight of pears of the first variety is 20 tons.

The weight of pears of the second variety is 20 - 4 = 16 tons.

The weight of pears of the third variety is (3/4)(16) = 12 tons.

Therefore, the gardeners collected 20 tons of pears of the first variety, 16 tons of pears of the second variety, and 12 tons of pears of the third variety.

Answer

The gardeners collected 20 tons of pears of the first variety, 16 tons of pears of the second variety, and 12 tons of pears of the third variety.