Answer:
36
Step-by-step explanation:
Given:
- A kitchen shop sells bowls in sizes small, medium and large.
Draw a Venn diagram with 3 intersecting circles. Label each circle:
- S = small bowls
- M = medium bowls
- L = large bowls
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Given:
- 5 people bought all three sizes of bowl.
Enter "5" in the central overlapping section of the Venn diagram.
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Given:
- 7 people bought a small bowl and a large bowl.
We know that 5 people bought all 3 bowls, so to find the number who bought a small and large bowl (but not a medium bowl):
⇒ 7 - 5 = 2
Enter "2" in the section S and L but not M.
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Given:
- In total, 27 people bought a small bowl, of which 12 also bought a medium bowl.
First, calculate the number of people who bought only a small and medium bowl (but not a large bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 12.
Enter "7" in the section S and M but not L
A total of 27 people bought a small bowl, so to find the number who bought a small bowl only (not a medium and/or large bowl), subtract the other found numbers from 27:
⇒ 27 - 5 - 2- 7 = 13
Enter "13" in the S only section.
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Given:
- In total, 66 people bought a medium bowl, of which 15 also bought a large bowl.
First, calculate the number of people who bought only a large and medium bowl (but not a small bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 15.
Enter "10" in the section M and L but not S
A total of 66 people bought a medium bowl, so to find the number who bought a medium bowl only, subtract the other found numbers:
⇒ 66 - 5 - 7 - 10 = 44
Enter "44" in the M only section.
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Given:
- On a given day, 100 people each bought at least one bowl from the shop.
To find "L only" subtract all the known numbers from 100:
⇒ 100 - 5 - 2 - 7 - 13 - 10 - 44 = 19
Enter "19" into the L only section.
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Finally, to work out the total number of people that bought a large bowl, add up the numbers in the L circle:
⇒ 2 + 5 + 10 + 19 = 36
