Question

Наташа, Ира и Оля собрали 53 ромашки. Наташа и Ира собрали 40 ромашек, а Ира и Оля вместе собрали 43 ромашки. Сколько ромашек собрала каждая из девочек?

Answer 1

Слушай, а в инете посмотреть никак?!

Answer 2

Problem Analysis

We are given that Natasha, Ira, and Olya collected a total of 53 daisies. Natasha and Ira collected 40 daisies, and Ira and Olya together collected 43 daisies. We need to determine how many daisies each girl collected.

Solution

Let's assign variables to represent the number of daisies collected by each girl: - Let N represent the number of daisies collected by Natasha. - Let I represent the number of daisies collected by Ira. - Let O represent the number of daisies collected by Olya.

From the given information, we can form the following equations: 1. Natasha and Ira collected 40 daisies: N + I = 40. 2. Ira and Olya together collected 43 daisies: I + O = 43. 3. The total number of daisies collected by all three girls is 53: N + I + O = 53.

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

Subtracting equation 2 from equation 1, we get: (N + I) - (I + O) = 40 - 43, which simplifies to: N - O = -3. (Equation 4)

Adding equation 1 and equation 2, we get: (N + I) + (I + O) = 40 + 43, which simplifies to: N + 2I + O = 83. (Equation 5)

Now, we have two equations (Equation 4 and Equation 5) with two variables (N and O). We can solve this system of equations to find the values of N and O.

To eliminate the variable I, we can multiply Equation 4 by 2 and subtract it from Equation 5: (N + 2I + O) - 2(N - O) = 83 - 2(-3), which simplifies to: 5I + 3O = 89. (Equation 6)

Now, we have two equations (Equation 4 and Equation 6) with two variables (I and O). We can solve this system of equations to find the values of I and O.

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

Multiplying Equation 4 by 5, we get: 5(N - O) = -15, which simplifies to: 5N - 5O = -15. (Equation 7)

Subtracting Equation 7 from Equation 6, we get: (5I + 3O) - (5N - 5O) = 89 - (-15), which simplifies to: 5N + 5I + 8O = 104. (Equation 8)

Now, we have two equations (Equation 7 and Equation 8) with two variables (N and O). We can solve this system of equations to find the values of N and O.

Subtracting Equation 7 from Equation 8, we get: (5N + 5I + 8O) - (5N - 5O) = 104 - (-15), which simplifies to: 10O = 119.

Dividing both sides of the equation by 10, we get: O = 11.9.

Since the number of daisies must be a whole number, Olya cannot have collected 11.9 daisies. Therefore, there is no solution to this problem.

Answer

There is no solution to the problem. It is not possible to determine how many daisies each girl collected based on the given information.

Note: The given problem may have inconsistencies or errors, as the equations do not yield a valid solution.