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

In summary, in a car park with 25 cars, there are 5 with L-plates, 12 with GB-plates and 12 with neither. After subtracting the cars with both L and GB-plates, there are 1 car with only L-plate and 4 cars with both L and GB-plates.
  • #1
Natasha1
493
9

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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  • #2
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
 
  • #3
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:
  • #4
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 :)
 
  • #5
Natasha1 said:
Could someone please check and let me know if it's right? Many thanks :)

Bingo :)
 
  • Like
Likes Natasha1
  • #6
Many thanks :)
 

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

1. What is a Venn diagram car park problem?

A Venn diagram car park problem is a type of problem that involves using Venn diagrams to represent the different categories or groups of items or people in a given situation. In the specific case of the L-plates and GB-plates problem, the Venn diagram is used to show the different combinations of drivers with these two types of plates and their parking permissions.

2. How do L-plates and GB-plates factor into the Venn diagram car park problem?

L-plates and GB-plates are used to represent two different groups of drivers in the Venn diagram car park problem. L-plates are used by drivers who are still learning how to drive, while GB-plates are used by drivers from other countries. These two groups of drivers have different parking permissions, which are represented by the different areas of the Venn diagram.

3. What are the different zones in the Venn diagram car park problem?

The Venn diagram car park problem is divided into three zones: the L-zone, the GB-zone, and the overlap zone. The L-zone represents the area where only drivers with L-plates are allowed to park, the GB-zone represents the area where only drivers with GB-plates are allowed to park, and the overlap zone represents the area where drivers with both L-plates and GB-plates are allowed to park.

4. How do I solve the Venn diagram car park problem?

To solve the Venn diagram car park problem, you need to use the given information to fill in the different zones of the diagram. Start by placing the L-plates and GB-plates in their respective zones, and then use the information about their parking permissions to fill in the overlap zone. You can also use algebraic equations to solve for the number of cars in each zone.

5. What is the purpose of using Venn diagrams in the car park problem?

Venn diagrams are useful tools for solving problems that involve different categories or groups. In the car park problem, the Venn diagram helps to visually represent the different combinations of drivers with L-plates and GB-plates and their parking permissions, making it easier to understand and solve the problem.

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