Question

In a sale, out of 30 buyers, 10 buyers bought 5 or fewer items, 22 buyers bought fewer than 8 items and 14 buyers bought at least 7 items. Find the numbers of buyers who bought exactly 6 items​

Answer 1

This is the final answer with full explanation

Answer 2

Given :  In a sale, out of 30 buyers, 10 buyers bought 5 or fewer items, 22 buyers bought fewer than 8 items and 14 buyers bought at least 7 items.

To Find : the numbers of buyers who bought exactly 6 items​

Solution:

Total Buyers = 30

10 buyers bought 5 or fewer items,

Hence buyers bought more than 5 items = 30 - 10 = 20

20  buyers bought more than 5 items

=> 20  buyers bought  6 or more items

14 buyers bought at least 7 items.

=> 14  buyers bought  7 or more  items

Let say x buyers bought exactly 6 items​

x + 14 buyers bought  6 or more  items

20  buyers bought  6 or more items

Equate

x + 14 = 20

=> x = 6

Hence 6  buyers bought exactly 6 items​

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