Question

набір для інтервю журналіста складається з ручки і блокнота.Яка вартість цього набору,якщо 2 ручки і 4 блокноти коштують 15 грн, а 5 ручок і 3 блокноти коштують 16 грн 50 коп?

Answer 1

2Р+4Б=15

5Р+3Б=16грн50коп

7Р+7Б=31грн50коп

1Р+1Б=4грн50коп

Answer 2

The cost of the journalist's interview set can be calculated by determining the individual prices of the pen and notebook and then multiplying them by the quantities needed.

Let's assign variables to the prices of the pen and notebook. Let's say the price of a pen is P and the price of a notebook is N.

According to the given information: - 2 pens and 4 notebooks cost 15 UAH. - 5 pens and 3 notebooks cost 16.50 UAH.

We can set up a system of equations to solve for the prices of the pen and notebook:

Equation 1: 2P + 4N = 15 Equation 2: 5P + 3N = 16.50

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method:

Multiplying Equation 1 by 5 and Equation 2 by 2, we get: 10P + 20N = 75 10P + 6N = 33

Subtracting Equation 2 from Equation 1, we get: 14N = 42 N = 3

Substituting the value of N into Equation 1, we get: 2P + 4(3) = 15 2P + 12 = 15 2P = 3 P = 1.50

Therefore, the price of a pen (P) is 1.50 UAH and the price of a notebook (N) is 3 UAH.

To find the cost of the journalist's interview set, we can multiply the prices of the pen and notebook by the quantities needed: - For 2 pens and 4 notebooks: (2 * 1.50) + (4 * 3) = 3 + 12 = 15 UAH. - For 5 pens and 3 notebooks: (5 * 1.50) + (3 * 3) = 7.50 + 9 = 16.50 UAH.

Therefore, the cost of the journalist's interview set is 15 UAH if 2 pens and 4 notebooks are needed, and 16.50 UAH if 5 pens and 3 notebooks are needed.