The common portion of this Venn diagram represents the percentage of respondents that were classified into both groups. In order to calculate the percentage that represents the amount of respondents classified into both groups, first find the sum of group  and group . Then subtract that quantity from  percent. 

The solution is: 



 

The common portion of this Venn diagram represents the percentage of Mr. Robinson's students that stated they planned on both swimming and traveling during the summer. In order to calculate the percentage that represents the amount of students classified into both groups, first find the sum of the swimming group and traveling group. Then subtract that sum from . 

The solution is:

In order to find the ratio of friends that Kelly and Antonio have in common compared to the group members who are only friends with one or the other first find the percentage value of the common portion of the Venn diagram. To calculate this value, find the sum of the two exclusive groups and then subtract that sum from . 





This means that  of the group members are common friends of Kelly and Antonio. To convert this percentage to a ratio, first write  as a fraction, and then simplify as a ratio. 

 is equal to: 

This means that  out of every  group members are mutual friends of Kelly and Antonio. 

To find the ratio of Kelly and Antonio's exclusive friendships to their mutual friendships--find the sum of the two exclusive groups in the Venn diagram: 



This means that  of the members in the group are not friends with both Kelly and Antonio. To convert this percent to a ratio, first write  as a fraction, and then simplify as a ratio. 

 is equal to: 

This means that  out of every  group members are not mutual friends of Kelly and Antonio. 

To solve this problem first find the sum of the two exclusive groups shown in the Venn diagram: 



This means that  of respondents have exclusively voted for presidential candidates from only one political party. 

To find the value of the common portion of the Venn diagram, calculate the difference between  and :



This means that  of the respondents have voted for both Democratic and Republican presidential candidates. 

Since the information provided in the Venn diagram represents percentages, convert the quantity in category  from a percentage to a fraction. To convert a percentage to a fraction, divide the percent by a divisor of , then simplify the fraction if applicable; however, in this case the fraction can't be reduced. 

The solution is: 

Group 

Thus:
 

Since the information provided in the Venn diagram represents percentages, convert the quantity in the common portion of the diagram from a percentage to a fraction. To convert a percentage to a fraction, divide the percentage by a divisor of , then simplify the fraction if possible. 

Common portion is equal to . Therefore, the solution is:

The common portion of this Venn diagram represents the percentage of respondents that were classified into both groups. In order to calculate the percentage that represents how many students have visted both NYC and Texas, first find the sum of group  and group . Then subtract that quantity from .

The solution is: 

Since  of Ms. Dunn's class have visited only NYC,  out of every  students must have only visited NYC. This can be represented by the ratio ; however, this ratio does not appear as an answer choice, so we must reduce this ratio by dividing each part by their greatest common divisor. 

The solution is:

In order to calculate the fraction of Kayla's friends who only play sport, first find the sum of the common portion and video game portion of the Venn diagram. Then subtract that sum from  whole. 

The solution is: 



Note: 

Thus, 

This means that half of Kayla's friends only play sports.