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Year 8 Maths homework brain tester

Okay, here's the detail:
1. Assume the following abbreviations
F = fencing
G = Gymnastics
H = Handball

2. Break down the question into equations as follows
2F + 3G = 235
4H + 1F = 135
2H + 60 = 2G

3. Solve for G, giving: 1H + 30 = G

4. Substitute G into 1st equation , giving:
2F + 3*(1H + 30) = 235
which gives: 2F + 3H + 90 = 235
which gives 2F + 3H = 145

5. You now have two simultaneous equations:
2F + 3H = 145
1F + 4H = 135

6. Solve for F:
1F + 4H = 135
F = 135 - 4H

7. Substitute F into step 5:
2*(135 - 4H) + 3H = 145
which gives: 270 - 8H + 3H = 145
270 -145 = 8H -3H
125 = 5H
H = 25

8. Substitute H = 25 into step 2 equation 3:
2H + 60 = 2G , gives:
50 + 60 = 2G
G = 55

9. Substitute H = 25 into step 2 equation 2:
4H + 1F = 135
100 + 1F = 135
F = 35

I'm sure there's a quicker and easier way of doing this but, the above works.
 
Good job GD. The time you've saved him by doing is homework is time he's going to have to menacingly wear a hoody around his local estate. While smoking and doing drugs and teabagging small children (possibly).

Unless he has more homework.
 
FoxEye said:
Good job GD. The time you've saved him by doing is homework is time he's going to have to menacingly wear a hoody around his local estate. While smoking and doing drugs and teabagging small children (possibly).

Unless he has more homework.
Click to expand...

Going by his previous posts he already been to uni so i doubt it is his homework!
 
They go to the handball, the dad catches the ball and throws it back at the player. The player then smiles at the dad, he smiles back the mother then says "Who is she?". This is the start of the breakdown caused by his affair, two weeks later the mother murders the father in front of their own kids. The kids are traumatized, Shan and Chris have a baby together at only the age of 14. It turns out that the dad has an affair with a different handball player and they both got mixed up.
 
£9.2bn. Or, if you think the sky is falling, Britain is firmly in the grip of Sharia law and that Peter Hitchens is a national treasure, then the cost is £24bn.

So the answer is found by £9.2bn / 9 = £1022222222.22 per ticket (or £24bn / 9 = £2666666666.66, if you think the sky is falling, Britain is firmly in the grip of Sharia Law and Peter Hitchens is a national treasure) as those retards are the only five people who will go to watch the games whilst the rest of us **** and moan about them all clogging up the already overcrowded underground lines every day for a month.
 
Put the equations in a matrix and do a series of elementary row operations to reduce the matrix to reduced row echelon form. Easy.

(Possibly not in the year 8 syllabus...)
 
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