Question

За 4 пачки печенья и 3 пакета сока заплатили 346 р. Сколько стоит пачка печенья и сколько стоит пакет сока, если пачка печенья дешевле пакета сока на 8 р.?

Answer 1

Пусть пачка печенья стоит х руб, тогда сок х+8 руб. Зная количество купленного и общую стоимость покупки получаем уравнение

4х+3(х+8)=346

4х+3х+24=346

7х=346-24

х=322/7

х=46

 Печенье стоит 46 руб.

Сок 46+8=54 руб.

Answer 2

Calculation of the Prices of Cookies and Juice

To determine the prices of cookies and juice, we can use the given information that 4 packs of cookies and 3 packs of juice were purchased for a total of 346 rubles. Additionally, we know that the price of a pack of cookies is 8 rubles less than the price of a pack of juice.

Let's assign variables to the unknown prices: - Let x represent the price of a pack of cookies. - Let y represent the price of a pack of juice.

Based on the given information, we can set up the following equations:

1. The total cost equation: 4x + 3y = 346 rubles. 2. The price difference equation: x = y - 8 rubles.

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

From equation 2, we can express x in terms of y: x = y - 8.

Substitute this expression for x in equation 1: 4(y - 8) + 3y = 346.

Simplify and solve for y: 4y - 32 + 3y = 346, 7y - 32 = 346, 7y = 378, y = 378 / 7, y ≈ 54 rubles.

Now substitute the value of y back into equation 2 to find x: x = 54 - 8, x ≈ 46 rubles.

Therefore, the price of a pack of cookies is approximately 46 rubles, and the price of a pack of juice is approximately 54 rubles.

Please note that the calculated prices are approximate, as the exact prices may vary based on the specific context and location.