There are 33 students in the band. There are 6 more fifth-grade students than third-grade students. There are an equal number of third- and fourth-grade students. How many third-grade students are in the band?

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

thank you sooooooooooooo much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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

To find the number of third-grade students in the band, we can use the information given.

Let's assume the number of third-grade students is "x."
According to the given information, there are six more fifth-grade students than third-grade students. So, the number of fifth-grade students would be "x + 6."
It is also mentioned that there are an equal number of third- and fourth-grade students. So, the number of fourth-grade students would also be "x."

To find the total number of students in the band, we can add up the number of students from each grade:

Number of third-grade students: x
Number of fourth-grade students: x
Number of fifth-grade students: x + 6

Adding them all up, we get:
x + x + (x + 6) = 33

Combining like terms:
3x + 6 = 33

Subtracting 6 from both sides:
3x = 27

Dividing both sides by 3:
x = 9

Therefore, there are 9 third-grade students in the band.

what ever manger lser