Question

В портфеле 15 тетрадей в 1 линейку, в 2 линейки и в клетку. тетрадей в клетку на 10 больше, чем тетрадей в 1 линейку. Сколько могло быть в портфеле тетрадей каждого вида?

Answer 1

11 тетрадей в клетку
1 в 1 линейку
3 в 2 линейки

Answer 2

Problem Analysis

We are given a portfolio with 15 notebooks, which are divided into three types: 1) lined notebooks, 2) notebooks with two types of lines, and 3) grid notebooks. We are also given the information that there are 10 more grid notebooks than lined notebooks. We need to determine how many notebooks of each type could be in the portfolio.

Solution

Let's assume the number of lined notebooks is x. According to the given information, the number of grid notebooks is x + 10. The total number of notebooks is 15, so we can set up the following equation:

x + (x + 10) + y = 15

Where y represents the number of notebooks with two types of lines.

Simplifying the equation, we get:

2x + y = 5

To find the possible values of x and y, we can substitute different values for x and solve for y.

Let's try a few values of x and see if we get a valid solution:

1. If x = 1, then 2(1) + y = 5. Solving this equation, we get y = 3. However, this solution does not satisfy the condition that there are 10 more grid notebooks than lined notebooks.

2. If x = 2, then 2(2) + y = 5. Solving this equation, we get y = 1. This solution satisfies the condition that there are 10 more grid notebooks than lined notebooks.

Therefore, one possible solution is x = 2 (lined notebooks), y = 1 (notebooks with two types of lines), and x + 10 = 12 (grid notebooks).

Answer

There could be 2 lined notebooks, 1 notebook with two types of lines, and 12 grid notebooks in the portfolio.