Question

Продавец разложил гречневую крупу в четыре пакета. В первый пакет он насыпал в 1,5 раза больще крупы, чем во второй, а ещё в каждый из двух пакетов, т. е. в третий и четвёртый, - на 0,5 кг больше, чем во второй. Сколько килограммов гречневой крупы в каждом пакете, если масса всех четырёх пакетов вместе 14,5 кг?

Answer 1

Пусть х(кг)-крупы насыпали во 2 пакет, тогда в 1 пакет насыпали 1,5х(кг) крупы, в 3 пакет насыпали (х+0,5)кг, а в 4 пакет насыпали то же (х+0,5)кг крупы. всего в четырех пакетах 14,5кг. Составим и решим уравнение:

1,5х+х+(х+0,5)+(х+0,5)=14,5;

1,5х+х+х+0,5+х+0,5=14,5;

4,5х=14,5-0,5-0,5;

4,5х=13,5;

х=13,5:4,5;

х=3.

3(кг)-крупы во 2 пакете

1,5*3=4,5(кг)-крупы в 1 пакете

3+0,5=3,5(кг)-крупы в 3 пакете

 3+0,5=3,5(кг)-крупы в 4 пакете.

Answer 2

Problem Analysis

The problem states that a seller has divided a quantity of buckwheat into four packets. The first packet contains 1.5 times more buckwheat than the second packet, and the third and fourth packets each contain 0.5 kg more buckwheat than the second packet. The total weight of all four packets combined is 14.5 kg. We need to determine the weight of buckwheat in each packet.

Solution

Let's assume the weight of buckwheat in the second packet is x kg.

According to the problem, the first packet contains 1.5 times more buckwheat than the second packet, so the weight of buckwheat in the first packet is 1.5x kg.

The third and fourth packets each contain 0.5 kg more buckwheat than the second packet, so the weight of buckwheat in the third packet is x + 0.5 kg, and the weight of buckwheat in the fourth packet is also x + 0.5 kg.

The total weight of all four packets combined is 14.5 kg, so we can write the equation:

x + 1.5x + x + 0.5 + x + 0.5 = 14.5

Simplifying the equation:

4x + 1.5 = 14.5

4x = 14.5 - 1.5

4x = 13

x = 13 / 4

x = 3.25

Therefore, the weight of buckwheat in each packet is as follows:

- First packet: 1.5 * 3.25 = 4.875 kg - Second packet: 3.25 kg - Third packet: 3.25 + 0.5 = 3.75 kg - Fourth packet: 3.25 + 0.5 = 3.75 kg

So, the weight of buckwheat in each packet is 4.875 kg, 3.25 kg, 3.75 kg, and 3.75 kg, respectively.

Answer

The weight of buckwheat in each packet is as follows:

- First packet: 4.875 kg - Second packet: 3.25 kg - Third packet: 3.75 kg - Fourth packet: 3.75 kg