Question

Миша купил 3 кг груш ,и у него осталось 120 руб.,а чтобы купить 5 кг груш ему не хватило 120 руб.Сколько стоит килограмм груш?Сколько денег у него было?

Answer 1

X - это цена
Тогда у покупателя было с собой денег: 3*x + 120
При этом для покупки 5кг нужна цена 5*x, но ему не хватило 120 руб, т.е. у него было 5*х - 120.
Но получаем мы одно и тоже число, тогда приравниваем:
3*х+120 = 5*х - 120
3*х-5*х = - 120 - 120
- 2*х = - 240  (умножим на -1 обе части уравнения)
2*х = 240 => x = 120 - за килограмм
А было у него денег соответственно на 4 килограмма: 3*120 + 120 = 480 руб

Answer 2

Calculation of the Cost per Kilogram of Pears

To find the cost per kilogram of pears, we can set up a system of equations based on the given information.

Let's assume the cost per kilogram of pears is x rubles.

According to the information provided: - Misha bought 3 kilograms of pears and had 120 rubles left. - If he wanted to buy 5 kilograms of pears, he would need an additional 120 rubles.

Using this information, we can set up the following equations:

Equation 1: 3x + 120 = total cost of 3 kilograms of pears Equation 2: 5x = total cost of 5 kilograms of pears

To solve for x, we can subtract Equation 1 from Equation 2:

5x - (3x + 120) = 0 2x - 120 = 0 2x = 120 x = 60

Therefore, the cost per kilogram of pears is 60 rubles.

Calculation of the Amount of Money Misha Had

To calculate the amount of money Misha had initially, we can use Equation 1 from the previous section:

3x + 120 = total cost of 3 kilograms of pears

Substituting the value of x (60 rubles) into the equation:

3 * 60 + 120 = 180 + 120 = 300

Therefore, Misha initially had 300 rubles.

Please let me know if there's anything else I can help you with!