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?

1. 3
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

5th graders = x + 6

add them to double check. Good luck

posted by Zack

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

posted by Alexa
3. Thank you!! I really appreciate your help! ( :

posted by Kristina
4. what ever manger lser

posted by amalia
5. there are 9 third graders

## Similar Questions

1. ### MATH

there are 400 students at smith Elementary school 1/4 of the students are in fourth and fifth grade, 1/10 of the students are in grade 3, 2/8 are in second grade and 2/5 are in first grade . How many kids are in each grade? (4th
2. ### Math Word Problem

Riding on a school bus are 20 students in ninth grade, 10 students in tenth grade, 9 students in eleventh grade, and 7 students in twelfth grade. Approximately what percent of students on the bus are in ninth grade? How do I go

The students of litchfield High school are in grades 9,10,11,12. Of the students , 1/4th are in 9th grade, 1/3rd are in 10th grade, 1/6th is in 11th grade and there are 300 in the 12th grade, how many students are there all
4. ### Social studies needs your help!!

I am in a very tight situation. I am a grade 4 social studies teacher. In my classroom, I have students of mixed ability. Some students are above grade level, some on grade level and some below grade level. The bulk of students is
5. ### Math

How many 7th grade students are expected to move by the end of the year? If 12 students actually moved, did more or fewer 7th-grade students move than expected? Justify your answer. 6th-grade # of students: 250 % moves: 2%
6. ### Math - average grade

Does anyone know how to calculate average point grade? I have the following data: grade D - 2 students - 4,9 percent grade C - 6 students - 14,7 percent grade B - 12 students - 29,2 percent grade A - 21 students - 51,2 percent