3rd grade
posted by Kristina on .
There are 33 students in the band. There are 6 more fifthgrade students than thirdgrade students. There are an equal number of third and fourthgrade students. How many thirdgrade students are in the band?

3rd graders = x
4th graders = x
5th graders = x + 6 (this is because there are 6 MORE 5th graders than 3rd grade)
Make an equation
x + x + (x + 6)= 33
group like terms
3x + 6 = 33
subtract 6 from both sides to get x alone
3x = 27
divide both sides by 3
x = 9
PLUG IN 9 for x
3rd graders = x
4th graders = x
5th graders = x + 6
add them to double check. Good luck 
what ever manger lser

Third graders: x
Fifth graders: 6+x
Fourth graders: x (equal number as third graders)
Assuming that there is no other grades in the band
33 = x+(x+6)+x
33 equals the sum of all the parts
33 = 3x +6
Bring together like terms
27 = 3x
Solve for x
x = 9
There are nine third graders in the band 
Thank you!! I really appreciate your help! ( :

there are 9 third graders