SAT Math Question of the Day

Math Category: Algebraic Sets:

Q: In a group of 8 Sophomores, 4 are in Marching Band, 3 are in French Club, and 2 are in both Marching Band and French Club. How many are not in either club?

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

UNANSWERED.

The correct answer is D.

A: 3 is the right answer.

Let's make a chart to figure out this set problem. There are 8 Sophomores, so make the chart 8 columns wide:

1 2  3 4  5 6  7 8 
           
           

Next fill in the 4 in Marching Band:
1 2  3 4  5 6  7 8 
MBMB MBMB      
           

Next fill in the 3 in French Club. Remember that 2 are in both Marching Band and French Club, so let's say it's Sophomores #3 and #4:
1 2  3 4  5 6  7 8 
MBMB MBMB      
   FCFC FC    

Now we have filled out the chart with all the information we know. Looking at the chart we see that Sophomores #6, #7, and #8 are in neither club, so the answer is 3.