Question

Школьная баскетбольная команда в двух играх заработала 95 очков. Если удвоить количество очков, полученных в первой игре, то это на 5 меньше, чем количество очков, полученных во второй игре. Сколько очков, заработала команда в каждой игре ? задача 8 кл решение с помощью системы

Answer 1

пусть х в первой игре, тогда

2х+5 во второй.

получим

2х+5+х=95

х=30- в первой игре.

во второй игре 65

Answer 2

Problem Analysis

We are given that a school basketball team earned a total of 95 points in two games. If we double the number of points earned in the first game, it will be 5 points less than the number of points earned in the second game. We need to determine the number of points earned in each game.

Solution

Let's assume that the number of points earned in the first game is x. According to the problem, if we double x, it will be 5 points less than the number of points earned in the second game.

Based on this information, we can set up the following equation:

2x = (number of points earned in the second game) - 5

We also know that the total number of points earned in both games is 95. Therefore, we can set up another equation:

x + (number of points earned in the second game) = 95

Now we have a system of two equations that we can solve to find the values of x and the number of points earned in the second game.

Let's solve the system of equations:

Equation 1: 2x = (number of points earned in the second game) - 5 Equation 2: x + (number of points earned in the second game) = 95

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

From Equation 2, we can express (number of points earned in the second game) in terms of x: (number of points earned in the second game) = 95 - x

Substituting this expression into Equation 1, we get: 2x = (95 - x) - 5 2x = 90 - x 3x = 90 x = 30

Now we can substitute the value of x back into Equation 2 to find the number of points earned in the second game: (number of points earned in the second game) = 95 - x (number of points earned in the second game) = 95 - 30 (number of points earned in the second game) = 65

Therefore, the school basketball team earned 30 points in the first game and 65 points in the second game.

Answer

The school basketball team earned 30 points in the first game and 65 points in the second game.