Topics: Starter | Algebra | Problem Solving

• Vijay Leckraz, Dartford Technology College
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• Let the Blue car be £x. The red car would then be Blue+£5000.Yellow is the same as Blue,so Yellow cost£x.Green cost twice as much as Blue so Green cost £2X.Green car is the same as Red car so we can write
  Green car= Red car
  2x=x+£50000.
  solving this equation by the elimination method we have 2x-x=x-x+£5000
  which gives x=£5000
  So Blue car costs £5000
  Yellow Car costs £5000
  Green car costs £10000
  Red car costs £10000.
• Jonny,
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• There's a slight mistake in the answer above:
  Green car = Red car
  2x=x+£50000.
  This should be £5000.
  Enjoyed the starter though!
• Phillipa, West Yorkshire
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• I think this is very good for when Im doing Algebra with Ks3 however can you explain how you did it as we are all baffled.
• Vicki, Cheshire
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• It's quite simple (when you know how) really... Call the blue car B, yellow car Y, green car G and red car R.
  The blue and yellow cars cost the same so B=Y
  The green and red cost the same so G=R
  R = B + 5,000 and since G=R you can say G = B + 5,000
  G = 2Y and since Y=B you can say G = 2B
  So make these equal to each other:
  2B = B + 5,000
  B = 5,000 = Y
  G = R = 5,000 + 5,000 = 10,000
  The cars total up to 30,000.
• Billy, Newcastle
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• This question is perfect for drawing using bars. I liked it.

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