Question

Надежда и Галина собрали 17,5 кг малины, причем Галина собрала на 3,5 килограмма меньше, чем Надежда. Сколько килограммов малины собрала Надежда? (даю 15 баллов)

Answer 1

Пусть x кг малины собрала Надежда, y кг - Галина. Вместе они собрали 17,5 кг, Галина собрала на 3,5 кг меньше, чем Надежда. Составляем систему уравнений:

$\left \{ {{x+y=17,5} \atop {x-y=3,5}} \right. \\\\2x=21\\x=10,5\\\\\left \{ {{x=10,5} \atop {x-y=3,5}} \right. \\\left \{ {{x=10,5} \atop {y=x-3,5}} \right. \\\left \{ {{x=10,5} \atop {y=10,5-3,5}} \right. \\\left \{ {{x=10,5} \atop {y=7}} \right.$

Ответ: Надежда собрала 10,5 кг малины, а Галина - 7 кг.

Answer 2

17,5=х+х-3,5
21=2х
Х=10,5
10,5-3,5=7
Ответ 7

Answer 3

Calculation of the Amount of Raspberries Collected by Nadezhda

To determine how many kilograms of raspberries Nadezhda collected, we can use the information given in the question.

According to the question, Nadezhda and Galina collected a total of 17.5 kg of raspberries. It is also mentioned that Galina collected 3.5 kg less than Nadezhda.

Let's assume that Nadezhda collected x kg of raspberries. In that case, Galina would have collected (x - 3.5) kg of raspberries.

The sum of the raspberries collected by Nadezhda and Galina is equal to 17.5 kg:

x + (x - 3.5) = 17.5

Simplifying the equation:

2x - 3.5 = 17.5

Adding 3.5 to both sides:

2x = 21

Dividing both sides by 2:

x = 10.5

Therefore, Nadezhda collected 10.5 kg of raspberries.