Question

6 кг сахара расфасовали в 9 одинаковых пакетов, 11кг крупы - в 15 пакетах. какой из пакетов тяжелее - с сахаром или с крупой? с объяснениями

Answer 1

$6:9=\dfrac69=\dfrac23$ (кг) сахара в одном пакете

$11:15=\dfrac{11}{15}$ (кг) крупы в одном пакете

Сравниваем 2/3 и 11/15

$\dfrac23=\dfrac{10}{15}$

$\dfrac{10}{15}$

Следовательно, пакет с крупой тяжелее пакета с сахаром

Ответ:  с крупой

Answer 2

Problem Analysis

To determine which packet is heavier, we need to compare the weight of the sugar packet and the weight of the grain packet. We know that 6 kg of sugar is divided into 9 identical packets, and 11 kg of grain is divided into 15 identical packets.

Calculation

To find the weight of each sugar packet, we divide the total weight of sugar (6 kg) by the number of packets (9): Weight of each sugar packet = 6 kg / 9 = 0.67 kg.

To find the weight of each grain packet, we divide the total weight of grain (11 kg) by the number of packets (15): Weight of each grain packet = 11 kg / 15 = 0.73 kg.

Conclusion

Comparing the weights of the packets, we can see that each grain packet weighs 0.73 kg, while each sugar packet weighs only 0.67 kg. Therefore, the grain packets are heavier than the sugar packets.

Explanation

The weight of each packet is determined by dividing the total weight of the substance by the number of packets. In this case, even though the total weight of sugar is less than the total weight of grain, the grain packets are heavier because they are divided into fewer packets. This means that each grain packet contains more weight compared to each sugar packet.