Question

Summary On a given day, 100 people each bought at least one frying pan from the shop. 3 people bought all three sizes of frying pan. In total, 26 people bought a small frying pan, of which 12 also bought a medium frying pan. 5 people bought a small frying pan and a large frying pan. In total, 67 people bought a medium frying pan, of which 13 also bought a large frying pan. Work out the total amount of people that bought a large frying pan​

Answer 1

The total number of people who bought a large frying pan is 54.

Total number of people: 100 people each bought at least one frying pan.

Number of people buying all three sizes: 3 people bought small, medium, and large frying pans.

Small frying pan buyers: 26 people in total, with 12 of them also buying a medium frying pan.

Small and large frying pan buyers: 5 people bought a small and a large frying pan.

Medium frying pan buyers: 67 people in total, with 13 of them also buying a large frying pan.

Let's find the total number of people who bought a large frying pan.

Total Small Frying Pan Buyers: 26 people

Small and Medium Frying Pan Buyers: 12 people (overlap with small)

Small and Large Frying Pan Buyers:5 people (overlap with small)

Total Medium Frying Pan Buyers: 67 people

Medium and Large Frying Pan Buyers: 13 people (overlap with medium)

To find the total number of people who bought a large frying pan:

Total Large Frying Pan Buyers = Total Medium Frying Pan Buyers - Medium and Large Frying Pan Buyers

Total Large Frying Pan Buyers} = 67 - 13 = 54

Therefore, the total number of people who bought a large frying pan is 54.