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?

Respuesta :

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.

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