Cars

A Maths Starter Of The Day

Cars

What is the total cost of all four cars?


Share

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.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.6 out of 5 based on 232 votes.


Previous Day | This starter is for 16 July | Next Day

 

Answers


Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=July16

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

Transum.org/go/?to=Mathopoly

Student Activity

 

Extension

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

Mathematic Car

 

 

 

Apple

©1997-2017 WWW.TRANSUM.ORG