Question

Купили ручки и фломастеры по одной цене. Ручек купили на 3 больше, чем фломастеров. За ручки заплатили на 9000р. больше, чем за фломастеры Найди цену ручки

Answer 1

3000
т.к нужно цену (9000) разделить на количество ручек (3)

Answer 2

Problem Analysis

To find the price of a pen (ручка), we need to solve a system of equations based on the given information. Let's define the variables: - Let x be the price of a pen (ручка). - Let y be the price of a marker (фломастер).

From the given information, we can derive the following equations: 1. The number of pens bought is 3 more than the number of markers bought: pens = markers + 3. 2. The total amount paid for pens is 9000 rubles more than the total amount paid for markers: pens_price = markers_price + 9000.

We can use these equations to solve for the price of a pen.

Solution

Let's solve the system of equations to find the price of a pen (ручка).

1. From the first equation, we know that pens = markers + 3. 2. From the second equation, we know that pens_price = markers_price + 9000.

Substituting pens = markers + 3 into pens_price = markers_price + 9000, we get: (markers + 3)_price = markers_price + 9000.

Simplifying the equation, we have: markers_price + 3x = markers_price + 9000.

The markers_price cancels out, and we are left with: 3x = 9000.

Dividing both sides of the equation by 3, we find: x = 3000.

Therefore, the price of a pen (ручка) is 3000 rubles.

Conclusion

The price of a pen (ручка) is 3000 rubles.