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Everyone in a class of 35 students takes math and history. 8 students received an A in history, 15 received an A in math and 3 received an A in both courses. How many students did not receive an A in either course?

 Mar 30, 2020
 #1
avatar+632 
+1

OOPS mistake fixed

8 students in history

 

15 students in math

 

8 + 15 = 23

 

23 - 3 who recieved both = 20 people who recieved an A

 

Knowing that 20 people recieved an A in history and/or math. How many students did not recieve an A in either course?

(Hint: It's 2 second mental-math)

 Mar 30, 2020
edited by AnExtremelyLongName  Mar 30, 2020
 #5
avatar+111321 
+1

15 -  3  =  12  =   A  only  in Math

 

8  - 3   =   5  =  A  only  in history

 

So

 

35  -  [ 12 + 3 + 5 ]  =

 

35  -  [ 20 ]   =

 

15  not receiving an A in either course

 

 

cool cool cool

 Mar 30, 2020

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