Question

Юра, Егор Рома катались на лыжах, замёрзли и пришли домой пить чай. Юра и Егор вместе выпили 9 чашек, Егор и Рома-8 чашек, а Юра и Рома-5 чашек. Сколько чашек чая они выпили все втроем?

Answer 1

22 чашек чая они выпели все втроем

Answer 2

Calculation of Tea Cups Consumed

To determine the total number of tea cups consumed by Yura, Egor, and Roma, we can analyze the given information. Let's break it down step by step:

1. Yura and Egor together drank 9 cups of tea. 2. Egor and Roma together drank 8 cups of tea. 3. Yura and Roma together drank 5 cups of tea.

To find the total number of tea cups consumed by all three individuals, we need to add up the cups they drank together and subtract the cups they drank separately.

Let's assign variables to represent the number of cups each person drank: - Yura: Y - Egor: E - Roma: R

Based on the given information, we have the following equations:

1. Y + E = 9 2. E + R = 8 3. Y + R = 5

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

Adding equations 1 and 2, we get: (Y + E) + (E + R) = 9 + 8 Y + 2E + R = 17 ---(Equation 4)

Subtracting equation 3 from equation 4, we get: (Y + 2E + R) - (Y + R) = 17 - 5 2E = 12 E = 6

Now, we can substitute the value of E (6) into equation 1 to find the value of Y: Y + 6 = 9 Y = 3

Substituting the values of Y (3) and E (6) into equation 3, we can find the value of R: 3 + R = 5 R = 2

Therefore, Yura drank 3 cups of tea, Egor drank 6 cups of tea, and Roma drank 2 cups of tea.

To find the total number of tea cups consumed by all three, we can add up their individual cups: 3 + 6 + 2 = 11

Therefore, Yura, Egor, and Roma drank a total of 11 tea cups together.