Asked by yussra

In a competition, 5 points were awarded for each game won and 2 points were deducted for each game lost.A pupil attempted 15 games and got 54 points.How many games did the pupil win?
Answered by Steve
If w games were won, then 15-w were lost, so the points add up as

5w - 2(15-w) = 54

So, solve for w.
Answered by Okero
12 games won
Answered by hoptu li
12
Answered by David Mutahi
12
Answered by clinton
5w-2(15-w)=54
Answered by Stephen
I like it...the methord given..is ok..thank you guyz
Answered by Stephen
good atempt
Answered by Stephen
good
Answered by Yes
Good.
Answered by David Abala
The method is very useful
Answered by Anonymous
Very good this sum had given me a headache 👍👍👍👍
Answered by Polly
Thanks so much aki. Headache kwisha.
Answered by Rajab
Thanks gyz
Answered by Anonymous
Thanks you
Answered by Judy
I haven't understood the method kindly somebody to just explain it for me
Answered by JaBa
Let win be X
So loss will be 15-X
5*x+ 2(15-x)=54
5X+30-2X=54
3X+30-30=54-30
3X=24
X=8
So 8 games won
7games lost
Answered by Carlos
Won-x
Lost-15-x
Points won=5x
Points lost=-2(15-x)=-30+2x
5x-30+2x=54
5x+2x=54+30
7x=84
X=12
Won games=12games
Answered by HENRY
5X+30-2X=54


5X-2X=54-30
3X/3=24/3
Answered by HENRY
=5 X +30-2X=54



5X-2X=54-30
3X/3=24/3=
X=8
Answered by HENRY the mathematician
5x-2x=54-30
=3x/3=24/3
X=8
Answered by HASSAN BINN
I need the answer
Answered by Robert Kuria
Let x be the no,of games won , game lost 15-x , point awarded, incase he win all,the game,he could have scored,15x5 =75,point penalized =75-54=21, penalty point 5awarded+2deducted=7point ,divide 21 by8=3=therefore he lost 3games and won 12games
Answered by Elija
Win=x
Loss=15-x
;....win will be 5×x
....loss... 2(15-x)
Sum of points... 54
Therefore (5×X)-2(15-X)=54
5X-30+2X=54
7X=54+30
7X=84....divide both side with 7...
X=12
Won...12
Lost...3
Answered by Raymond
Answer=6
Answered by Liam
won =12
Answered by Shekyz
Win= +5pts
Lose= -2pts
Play= 15games
Total Points= 54pts

If Win= X ... Then, Lose= 15-X
Win= 5X Lose= -2(15-X) -30+2X
Win + Lose = 54
5X + (-30+2X) = 54 ...Collect the terms.
7X-30=54
7X=84 ...Divide both sides by 7.
X=12 Win (X) = 12

Therefore, Lose 15-X... =15-12
=3
Answer
Let the number of games won be x
To get what he lose we subtract the number of games won from 15
5{x} -2{15-x}=54
5x-30+ 2x=54
7x=84
x = 12
Lose=15-x
15-12
=3
Answered by Bot
The pupil won 12 games and lost 3 games.