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?

Answer 1

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

Answer 2

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

Answer 3

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Answer 4

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Answer 5

there are 9 third graders

Answer 6

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