In a game 5 points are awarded to each game won and 2 points are deducted for each game lost njoroge attempted 15 games and he had 68 points how many games did he lose

Answer 1

Let's assume that njoroge won x games and lost y games.
Each game won is awarded 5 points, so the total points from winning games is 5x.
Similarly, each game lost deducts 2 points, so the total points lost from losing games is 2y.

We are given that njoroge attempted 15 games, so x + y = 15.

njoroge had a total of 68 points, so 5x - 2y = 68.

To solve for x and y, we can use the system of equations:
x + y = 15
5x - 2y = 68

Multiplying the first equation by 2, we get:
2x + 2y = 30

Adding this equation to the second equation, we have:
2x + 2y + 5x - 2y = 30 + 68
7x = 98

Dividing both sides by 7, we find:
x = 14

Substituting this value of x into the first equation:
14 + y = 15
y = 15 - 14
y = 1

Therefore, njoroge won 14 games and lost 1 game.