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late night algebra please help

5 replies

rubbishatmath · 10/03/2015 21:13

name changed as I need help to try and express this question in algebra format and although I have calculated he answer of 28 which I believe is correct I cannot think how to write out the formula. Realise its shocking I cant manage Y7 homework but its been a long time since I had to do this type of thing !!
The school team played 38 games.
Won "n" and lost 5 games
Each win = 3 points
Draw = 1 point
defeat = 0 points
altogether they scored 89 points , how many games did they win.
Answer to be expressed as algebraic equation.
Help gratefully received Smile

OP posts:
mnistooaddictive · 10/03/2015 21:17

N+d+5= 38. Therefore d=33-n
3n+d= 89. So 3n+ 33-n=89
2n+33=89
2n= 56
N= 28

TeenAndTween · 10/03/2015 21:30

I agree with what mn said.

rubbishatmath · 10/03/2015 21:58

Huge thanks mnistoaddictive, been sat here piddling around since dd went to bed wishing I could do this & had a brain that didnt fog over at this type of thing.
Sorry for being dim but can you explain how do you arrive at 3n in the second line ?
thanks again!

OP posts:
TeenAndTween · 10/03/2015 22:04

3 point for every win, Number of wins =n, points from wins =3n = 3n
1 point for every draw, number of draws = d, points from draws = 1
d=d

Total number of points 3n+d+0=89 (0 points for losses).
Then you are substituting in 33-n instead of d

rubbishatmath · 10/03/2015 22:10

Teenandtween - finally get it!
can sleep tonight thank you.

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