Cars

A Maths Starter Of The Day

Cars

What is the total cost of all four cars?


Topics: Starter | Algebra | Problem Solving

  • Vijay Leckraz, Dartford Technology College
  •  
  • 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,
  •  
  • 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
  •  
  • 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
  •  
  • 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
  •  
  • This question is perfect for drawing using bars. I liked it.

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Laptops In Lessons

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However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to game involving the use of money.

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Student Activity

 

Extension

The car pictured below costs three quarters of its cost plus £4500. How much does it cost?

Mathematic Car

 

 

 

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