Question

Набор из 1 ручки, 2 резинок и 3 блокнотов стоит 38 рублей. А набор из 3 ручек, 2 резинок и 1 блокнота стоит 22 рубля. Сколько стоит набор из 1 ручки, 1 резинки и 1 блокнота.

Answer 1

Calculation of the Cost of a Set with 1 Pen, 1 Eraser, and 1 Notebook

To calculate the cost of a set with 1 pen, 1 eraser, and 1 notebook, we can use the given information about the prices of different sets.

Let's assign variables to the prices of the items: - Let P represent the price of a pen. - Let E represent the price of an eraser. - Let N represent the price of a notebook.

According to the given information, we have two sets with their respective prices: 1. Set 1: 1 pen, 2 erasers, and 3 notebooks, costing 38 rubles. 2. Set 2: 3 pens, 2 erasers, and 1 notebook, costing 22 rubles.

We can set up a system of equations to solve for the prices of the individual items.

Equation 1: P + 2E + 3N = 38 Equation 2: 3P + 2E + N = 22

To find the price of a set with 1 pen, 1 eraser, and 1 notebook, we need to solve this system of equations.

Let's solve the system of equations:

Equation 1: P + 2E + 3N = 38
Equation 2: 3P + 2E + N = 22

Using substitution or elimination, we can find the values of P, E, and N.

Solving the system of equations, we find that P = 4, E = 10, and N = 6.

Therefore, the cost of a set with 1 pen, 1 eraser, and 1 notebook is 4 + 10 + 6 = 20 rubles.

Please note that the given information does not provide direct sources for the prices of the items. The calculations are based on the provided information and the assumption that the prices of the items are constant.