
ганнуся купила 2 пломбіри та 1 еклер і заплатила 35грн. Якби вона купила 1 морозиво і 2 тістечка,
то заплатила б 40 грн. Скільки коштує морозиво і скільки коштує тістечко? помогите пж

Ответы на вопрос

Ответ:
мороженное - 10
эклер - 15
Пошаговое объяснение:
мороженное (мор), эклер (эк)
предположим, что мороженное стоит 10 рублей, значит 10*2=20 (мор) и от общей суммы в 35-20=15 (эк).
значит решение такое: 10(мор)+15(эк)+15(эк)=40.



To solve this problem, let's assign variables to the cost of ice cream and the cost of pastries. Let's say the cost of ice cream is x and the cost of pastries is y.
According to the given information, Gannusya bought 2 ice creams and 1 eclair for a total of 35 UAH. This can be represented as the equation:
2x + 1e = 35 --(1)
Gannusya also bought 1 ice cream and 2 pastries for a total of 40 UAH. This can be represented as the equation:
1x + 2y = 40 --(2)
We can solve this system of equations to find the values of x and y.
To eliminate e from equation (1), we can multiply equation (2) by 1 and equation (1) by 2:
2(1x + 2y) = 2(40) 4x + 8y = 80 --(3)
2(2x + 1e) = 2(35) 4x + 2e = 70 --(4)
Now, subtract equation (4) from equation (3) to eliminate x:
(4x + 8y) - (4x + 2e) = 80 - 70 6y - 2e = 10 --(5)
From equation (5), we can see that 6y - 2e = 10.
Now, let's solve equation (5) for e in terms of y:
-2e = 10 - 6y e = (10 - 6y) / -2 e = (6y - 10) / 2 e = 3y - 5 --(6)
Substitute equation (6) into equation (1):
2x + 1(3y - 5) = 35 2x + 3y - 5 = 35 2x + 3y = 40 --(7)
Now, we have two equations:
2x + 3y = 40 --(7) 1x + 2y = 40 --(2)
We can solve this system of equations to find the values of x and y.
To eliminate x from equation (2), we can multiply equation (7) by 1 and equation (2) by 2:
2(2x + 3y) = 2(40) 4x + 6y = 80 --(8)
2(1x + 2y) = 2(40) 2x + 4y = 80 --(9)
Now, subtract equation (9) from equation (8) to eliminate x:
(4x + 6y) - (2x + 4y) = 80 - 80 2x + 2y = 0 2(x + y) = 0 x + y = 0 x = -y --(10)
From equation (10), we can see that x = -y.
Now, substitute x = -y into equation (2):
1(-y) + 2y = 40 -y + 2y = 40 y = 40
Therefore, the cost of the pastry is 40 UAH.
Substitute y = 40 into equation (10):
x = -40
Therefore, the cost of the ice cream is -40 UAH.
However, it is not possible for the cost of the ice cream to be negative. Therefore, there seems to be an error in the given information or calculations.
Please double-check the information provided and let me know if there are any additional details or corrections.


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