## A Maths Starter Of The Day

What is the total cost of all four cars?

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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.

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## Extension

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