Question

На новогодние праздники мама закупила сладости: пряники, конфеты и зефир. За всю покупку она заплатила 420 руб . Конфеты стоят га 270 руб. дороже, чем зефир, а зефир и конфеты вместе - на 360 руб. больше, чем пряники. Сколько стоят конфеты?

Answer 1

Х- зефир
х+270 - конфеты
х+х+270 - зефир и конфеты вместе
х+х+270-360 = 2х-90 - пряники
х+х+270+2х-90 = 420
4х+180 = 420
4х = 420-180
4х = 240
х = 240:4
х = 60
60+270 = 330 рублей стоят конфеты

Answer 2

Решение:
420-360=60
Ответ: 60р

Answer 3

Calculation of Candy Price

To calculate the price of the candies, let's break down the given information:

- The total cost of all the sweets is 420 rubles. - The price of the candies is 270 rubles more expensive than the price of the marshmallows (zefir). - The combined price of the candies and marshmallows is 360 rubles more expensive than the price of the gingerbread cookies (pryaniki).

Let's assign variables to the unknowns: - Let x be the price of the candies. - Let y be the price of the marshmallows (zefir). - Let z be the price of the gingerbread cookies.

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

1. The total cost equation: x + y + z = 420. 2. The price difference equation: x = y + 270. 3. The combined price difference equation: x + y = z + 360.

To solve this system of equations, we can substitute equation 2 into equation 3:

(y + 270) + y = z + 360.

Simplifying the equation, we get:

2y + 270 = z + 360.

Now, let's substitute equation 2 into equation 1:

(y + 270) + y + z = 420.

Simplifying the equation, we get:

2y + z + 270 = 420.

We can rearrange this equation to isolate z:

z = 420 - 2y - 270.

Now, we can substitute this value of z into the previous equation:

2y + 420 - 2y - 270 + 270 = 420.

Simplifying the equation, we get:

2y = 420 - 420.

Simplifying further, we get:

2y = 0.

Therefore, y = 0.

Substituting this value of y into equation 2, we get:

x = 0 + 270.

Therefore, x = 270.

So, the price of the candies is 270 rubles.

Please note that the given information does not provide enough data to determine the price of the gingerbread cookies (z).