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?

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.

12 games won

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

I like it...the methord given..is ok..thank you guyz

5w-2(15-w)=54

Very good this sum had given me a headache 👍👍👍👍

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

12

12

good atempt