Question

10. An employee was conducting a service at the local supermarket. In his survey, he found that
63% of the shoppers intended to purchase produce on their trip. 80% of those shoppers
intended to purchase both fruits and vegetables. What percentage of total shoppers surveyed
intend to purchase only fruits or vegetables (not both)?

Answer 1

To solve this question, we analyze the percentages, and doing this, we get that the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

Percentages:

63% of the shoppers will make a purchase.

Of those, 80% purchase both fruits and vegetables.

Thus, 100 - 80 = 20% purchase only one.

Percentage of shoppers who purchase only one:

20% of 63%, so:

$p = 0.2*0.63 = 0.126$

0.126*100% = 12.6%.

Thus, the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

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