Question

Маша,Настя и Дина участвовали в викторине .Число верных ответов Маши ровно вдвое меньше чем число верных ответов Насти и Дины вместе взятых,а Настя и Маша вместе дали на 10 верных ответов больше ,чем Дина . Сколько верных ответов дала Настя ,если все три девочки вместе дали 60 верных ответов

Answer 1

Ответ:

60 - 10=45 маша цдщцгцовозыоыьяжфховоцзфзкооу

это рофл

Answer 2

Solution:

To solve this problem, we can use a system of equations to represent the given information and solve for the number of correct answers given by each girl.

Let's denote: - The number of correct answers given by Masha as M - The number of correct answers given by Nastya as N - The number of correct answers given by Dina as D

We are given the following information: 1. M = (N + D) / 2 2. M + N = D + 10 3. M + N + D = 60

We can use these equations to solve for the value of N.

First, we can use equation 1 to express M in terms of N and D: M = (N + D) / 2

Then, we can substitute this expression for M into equation 2: (N + D) / 2 + N = D + 10

Solving this equation will give us the value of N.

Let's proceed with the calculations.

Calculations:

Substitute the expression for M into equation 2: (N + D) / 2 + N = D + 10

Multiply both sides of the equation by 2 to clear the fraction: N + D + 2N = 2D + 20

Combine like terms: 3N + D = 2D + 20

Substitute the value of D from equation 3 into the equation: 3N + (60 - M - N) = 2(60 - M - N) + 20

Simplify and solve for N: 3N + 60 - M - N = 120 - 2M - 2N + 20 2N + 80 = 120 - 2M - 2N

Rearrange the equation: 4N + 80 = 120 - 2M

Substitute the value of M from equation 1: 4N + 80 = 120 - 2((N + D) / 2) 4N + 80 = 120 - (N + D) 4N + 80 = 120 - N - D

Substitute the value of D from equation 3: 4N + 80 = 120 - N - (60 - M - N) 4N + 80 = 120 - N - 60 + M + N 4N + 80 = 60 + M

Substitute the value of M from equation 1: 4N + 80 = 60 + (N + D) / 2 8N + 160 = 120 + N + D 8N = -40 + N + D

Substitute the value of D from equation 3: 8N = -40 + N + (60 - M - N) 8N = -40 + N + 60 - M - N 8N = 20 - M

Substitute the value of M from equation 1: 8N = 20 - (N + D) / 2 16N = 40 - N - D 16N = 40 - (60 - M - N) / 2 16N = 40 - 30 + M + N / 2 16N = 10 + M + N / 2

Substitute the value of M from equation 1: 16N = 10 + (N + D) / 2 32N = 20 + N + D 32N = 20 + (60 - M - N) 32N = 40 - M - N 33N = 40 - M

Substitute the value of M from equation 1: 33N = 40 - (N + D) / 2 66N = 80 - N - D 66N = 80 - (60 - M - N) 66N = 20 + M + N 66N = 20 + (N + D) / 2 132N = 40 + N + D

Substitute the value of D from equation 3: 132N = 40 + N + 60 - M - N 132N = 100 - M 133N = 100

Solve for N: N = 100 / 133

Answer:

The number of correct answers given by Nastya is 100 / 133.