Q:

At a newsstand, out of 46 customers, 27 bought the Daily News, 18 bought the Tribune, and 6 bought both papers.Use a Venn diagram to answer the following questions:How many customers bought only one paper?How many customers bought something other than either of the two papers?

Accepted Solution

A:
Answer:[tex]\text{Customer that bought only one paper}=33[/tex] [tex]\text{Customer that bought something other than either of the two papers}=7[/tex] Step-by-step explanation:We have been given that at a newsstand, out of 46 customers, 27 bought the Daily News, 18 bought the Tribune, and 6 bought both papers.[tex]\text{Customer that bought only Daily news}=27-6[/tex][tex]\text{Customer that bought only Daily news}=21[/tex] [tex]\text{Customer that bought only Tribune}=18-6[/tex] [tex]\text{Customer that bought only Tribune}=12[/tex] The customer that bought only one paper would be the sum of customers, who bought only Daily news or Tribune.[tex]\text{Customer that bought only one paper}=21+12[/tex] [tex]\text{Customer that bought only one paper}=33[/tex] Therefore, 33 customers bought only one paper.[tex]\text{Customer that bought something other than either of the two papers}=46-(27+18-6)[/tex] [tex]\text{Customer that bought something other than either of the two papers}=46-(45-6)[/tex] [tex]\text{Customer that bought something other than either of the two papers}=46-39[/tex] [tex]\text{Customer that bought something other than either of the two papers}=7[/tex] Therefore, 7 customers bought something other than either of the two papers.