Question

большая коробка яиц на 8 рублей дороже маленькой.В понедельник магазин продал 2 большие коробки яиц и 4 маленькие.Во вторник было продано 4 большие и 4 маленькие коробки яиц.Известно,что в понедельник магазин выручил на 48рублей меньше,чем во вторник.Сколько денег было получено магазином за эти 2 дня?

Answer 1

Пусть маленькая коробка стоит Х рублей. Тогда большая Х + 8 рублей.

За понедельник день магазин выручил  2 * (Х + 8) + 4 * Х = 6 * Х + 16 рублей, а за вторник  4 * (Х + 8) + 4 * Х = 8 * Х + 32 .

Получаем уравнение

(8 * Х + 32) - (6 * Х + 16) = 2 * Х + 16 = 48 , 

откуда  X = (48 - 16)/2 = 16 рублей.

За 2 дня магазин выручил 

6 * Х + 16 + 8 * Х + 32 = 14 * Х + 48 = 14 * 16 + 48 = 224 + 48 = 272 рубля.

Answer 2

х руб. стоит маленькая коробка

(х+8) руб. стоит большая коробка

2(х+8) + 4х = 6х + 16 (рублей) заработал магазин в понедельник

4(х+8) + 4х = 8х + 32 (рублей) заработал магазин во вторник

По условию известно, что в понедельник магазин выручил на 48рублей меньше,чем во вторник. Составим уравнение:

8х + 32 - 6х - 16 = 48

2х = 32

х = 16

16 руб. стоит маленькая коробка

16+8=24 руб. стоит большая коробка

6*16+ 16 = 112 рубля заработал магазин в понедельник

8*16 + 32 = 160 рублей заработал магазин во вторник

112 + 160 = 272 рубля заработал магазин за два дня.

Ответ. 272 рубля. 

Answer 3

Problem Analysis

We are given that a large box of eggs is 8 rubles more expensive than a small box of eggs. On Monday, the store sold 2 large boxes and 4 small boxes of eggs. On Tuesday, the store sold 4 large boxes and 4 small boxes of eggs. We also know that on Monday, the store made 48 rubles less than on Tuesday. We need to calculate the total amount of money the store received over these two days.

Solution

Let's start by assigning variables to the prices of the large and small boxes of eggs. Let's assume the price of a small box is x rubles. Then the price of a large box would be x + 8 rubles.

On Monday, the store sold 2 large boxes and 4 small boxes of eggs. So the total amount of money received on Monday can be calculated as: 2 * (x + 8) + 4 * x rubles.

On Tuesday, the store sold 4 large boxes and 4 small boxes of eggs. So the total amount of money received on Tuesday can be calculated as: 4 * (x + 8) + 4 * x rubles.

We are given that the store made 48 rubles less on Monday than on Tuesday. So we can set up the following equation: (2 * (x + 8) + 4 * x) + 48 = (4 * (x + 8) + 4 * x).

Now let's solve this equation to find the value of x.

Calculation

Expanding the equation, we get: 2x + 16 + 4x + 48 = 4x + 32 + 4x.

Combining like terms, we have: 6x + 64 = 8x + 32.

Simplifying further, we get: 2x = 32.

Dividing both sides by 2, we find: x = 16.

So the price of a small box of eggs is 16 rubles. Therefore, the price of a large box of eggs would be 16 + 8 = 24 rubles.

Answer

The price of a small box of eggs is 16 rubles and the price of a large box of eggs is 24 rubles. To calculate the total amount of money received by the store over the two days, we can substitute these values into the equations we derived earlier.

On Monday, the store received: 2 * (16 + 8) + 4 * 16 = 40 + 64 = 104 rubles.

On Tuesday, the store received: 4 * (16 + 8) + 4 * 16 = 72 + 64 = 136 rubles.

Therefore, the store received a total of 104 + 136 = 240 rubles over the two days.

Conclusion

The store received a total of 240 rubles over the two days.