
4 карандашаи 3тетради стоят 54р., а 2 карандаша и 2 тетради - 34р. Сколько стоят 6 таких карандашей
и 5 таких тетрадей?

Ответы на вопрос

Ответ: 6 карандашей и 5 тетрадей стоят 88 руб.



Solution:
To solve this problem, we can use a system of equations to find the cost of each item and then calculate the total cost for 6 pencils and 5 notebooks.
Let's denote the cost of one pencil as p and the cost of one notebook as n.
We are given the following information: - 4 pencils and 3 notebooks cost 54r. - 2 pencils and 2 notebooks cost 34r.
We can express this information as a system of equations: 1. 4p + 3n = 54 2. 2p + 2n = 34
We can solve this system of equations to find the values of p and n.
Solving the System of Equations:
We can start by multiplying the second equation by 2 to make the coefficients of p the same in both equations: 1. 4p + 3n = 54 2. 4p + 4n = 68Subtracting the second equation from the first gives us: 3n - 4n = 54 - 68 - n = -14
So, n = 14. Now, we can substitute n = 14 into the second equation to solve for p: 2p + 2*14 = 34 2p + 28 = 34 2p = 34 - 28 2p = 6 p = 3
Now that we have found the values of p and n, we can calculate the total cost for 6 pencils and 5 notebooks.
Calculating Total Cost:
The total cost for 6 pencils is 6 * 3 = 18r. The total cost for 5 notebooks is 5 * 14 = 70r.So, the total cost for 6 pencils and 5 notebooks is 88r.
Therefore, 6 such pencils and 5 such notebooks cost 88r.


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