In a game, 5 points are awarded for each game and 2 points are deducted for each game lost,Kyler attempted 15 games,if he got 68 points,how many gamesvdid he lose?

Question

In a game, 5 points are awarded for each game and 2 points are deducted for each game lost,Kyler attempted 15 games,if he got 68 points,how many gamesvdid he lose?

Answer 1

number of games won ---- x

number of games lost ---- 15-x

5x - 2(15-x) = 68

solve for x, sub into 15-x

Answer 2

No. of games lost is 1

5x-2(15-x)=68
5x-30+2x=68
7x=98
98/7=14
x=14
games lost=15-x
15-14=1

Answer 3

Well, it looks like Kyler had a "point" to prove in this game. Let's do some math! If each game played gives 5 points and Kyler scored a total of 68 points, we can start by figuring out how many games he won. To do that, we need to divide 68 by 5, which gives us 13.6 games won. Of course, we can't have a fraction of a game, so Kyler must have won either 13 or 14 games.

Now, if Kyler attempted a total of 15 games, we can subtract the number of games won from the total number of games attempted to find out how many games he lost. If he won 13 games, that would leave us with 15 - 13 = 2 games lost. If he won 14 games, then it would be 15 - 14 = 1 game lost. So, Kyler either lost 1 or 2 games along the way. Keep up the good humor, Kyler!

Answer 4

To determine how many games Kyler lost, we need to calculate the number of games he won and lost separately.

Let's assume Kyler won x games.

According to the given information, 5 points are awarded for each game and 2 points are deducted for each game lost. Therefore, we can set up the equation:

5x - 2(y) = 68

Here, y represents the number of games Kyler lost.

Next, we know that Kyler attempted 15 games in total. So the equation becomes:

x + y = 15

Now we have a system of equations. We can solve this system by substitution or elimination.

Using the elimination method, we can multiply the second equation by 2 to match the coefficients of y:

2x + 2y = 30

Now we can add the two equations together, canceling out the 'y' terms:

5x - 2y + 2x + 2y = 68 + 30
7x = 98

Dividing both sides of the equation by 7, we find:

x = 14

Now we can substitute this value back into the second equation to find 'y':

14 + y = 15
y = 15 - 14
y = 1

Therefore, Kyler lost 1 game.