Venn Diagram Car Park Problem: L-plates & GB-plates Explained

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SUMMARY

The Venn Diagram Car Park Problem involves 25 cars, with 5 having L-plates, 12 having GB-plates, and 12 having neither. The correct solution identifies that 1 car has an L-plate but not a GB-plate, and 4 cars have both L-plates and GB-plates. The total number of cars with plates must equal 13, which is derived from the remaining cars after accounting for those without plates. This conclusion is reached by accurately constructing the Venn diagrams based on the given data.

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Homework Statement


In a car park there are 25 cars, 5 have L-plates, 12 have GB-plates and 12 have neither.
1) How many have an L-plate but not a GB-plate?
2) How many have a GB-plate and an L-plate?

Homework Equations


None here really

The Attempt at a Solution


I got four different drawings each with two venn diagrams.

L-plate =2
Both L and GB-plate = 3
GB-plate = 9

L-plate =1
Both L and GB-plate = 4
GB-plate = 8

L-plate =3
Both L and GB-plate = 2
GB-plate = 10

L-plate =4
Both L and GB-plate = 1
GB-plate = 11

Where am I going wrong?

1) How many have an L-plate but not a GB-plate?
it could be 2, 1, 3 or 4 ?? Not sure which one and why?

2) How many have a GB-plate and an L-plate?
it could be 3, 4, 2 or 1 ?? Not sure which one and why?
 
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Natasha1 said:

Homework Statement


In a car park there are 25 cars, 5 have L-plates, 12 have GB-plates and 12 have neither.
1) How many have an L-plate but not a GB-plate?
2) How many have a GB-plate and an L-plate?

Homework Equations


None here really

The Attempt at a Solution


I got four different drawings each with two venn diagrams.
L-plate =2
Both L and GB-plate = 3
GB-plate = 9
That leaves how many cars without tags?
L-plate =1
Both L and GB-plate = 4
GB-plate = 8
That leaves how many cars without tags?
L-plate =3
Both L and GB-plate = 2
GB-plate = 10
That leaves how many cars without tags?
L-plate =4
Both L and GB-plate = 1
GB-plate = 11
That leaves how many cars without tags?
Where am I going wrong?

1) How many have an L-plate but not a GB-plate?
it could be 2, 1, 3 or 4 ?? Not sure which one and why?

2) How many have a GB-plate and an L-plate?
it could be 3, 4, 2 or 1 ?? Not sure which one and why?
Some of your drawings of Venn diagrams must be incorrect
 
Natasha1 said:

Homework Statement


In a car park there are 25 cars, 5 have L-plates, 12 have GB-plates and 12 have neither.
1) How many have an L-plate but not a GB-plate?
2) How many have a GB-plate and an L-plate?

Start with the 'neithers' -- they're the easiest, no confusion. Place them outside your Venn diagram.
That leaves 13 cars; your three remaining figures should add to 13.
 
Last edited:
I think I've got it... It must be

L-plate =1
Both L and GB-plate = 4
GB-plate = 8
Neither plates (outside both Venn diagrams) = 12
As the total is 13 (total of L-plates, GB-plates or both must = 13)

1) How many have an L-plate but not a GB-plate?
Is 1
2) How many have a GB-plate and an L-plate?
Is 4

Could someone please check and let me know if it's right? Many thanks :)
 
Natasha1 said:
Could someone please check and let me know if it's right? Many thanks :)

Bingo :)
 
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Many thanks :)
 

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