in a group of 60 children 31 speak French 23 speak Spanish 14 neither French nor Spanish find the number of student who speak:

(a)both French and Spanish
(b)French only
(c)Spanish only
draw a venn diagram
please answer quickly

aummm I don't understand it

Study this site to understand how to make Venn diagrams.

http://www.mathsisfun.com/sets/venn-diagrams.html

ok thanks

In a group of 60 students,31 speak french,23 speak spanish and 14 speak neither french nor spanish.Determine the number of students who speak both french anf spanish

To solve this problem, we can use the principle of inclusion-exclusion and a Venn diagram.

(a) To find the number of students who speak both French and Spanish, we can subtract the number of students who speak neither French nor Spanish from the total number of students who speak either French or Spanish.

Number of students who speak both French and Spanish = Total number of French speakers + Total number of Spanish speakers - Number of students who speak neither French nor Spanish

Number of students who speak both French and Spanish = 31 + 23 - 14
Number of students who speak both French and Spanish = 40

(b) To find the number of students who speak French only, we subtract the number of students who speak both French and Spanish from the total number of students who speak French.

Number of students who speak French only = Total number of French speakers - Number of students who speak both French and Spanish

Number of students who speak French only = 31 - 40 (since 40 is the total number who speak both languages)
Number of students who speak French only = -9 (This indicates that there might have been an error in the given data. In this case, it seems that the Botton Venn diagram is incorrect, as it should not be possible to have a negative number of students speaking French only.)

(c) To find the number of students who speak Spanish only, we subtract the number of students who speak both French and Spanish from the total number of students who speak Spanish.

Number of students who speak Spanish only = Total number of Spanish speakers - Number of students who speak both French and Spanish

Number of students who speak Spanish only = 23 - 40
Number of students who speak Spanish only = -17 (Again, this result indicates that there might have been an error in the given data.)

Given the negative results for (b) and (c), it seems that there may be a problem with the given information or the Venn diagram provided. Please double-check the data and ensure that it accurately represents the number of students speaking each language.

What did you find when you drew the Venn diagram?