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33 students are in the band.there are 6 more 5th grade students than 3rd grade students. There is an equal number of 3rd grade and 4th grade students. How many 3rd grade students are in the band?

User Wilhelmina
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2 Answers

5 votes

Answer:Use A for third graders, B for fourth graders, and C for fifth graders.

33 = A + B + C

Since there are three variables, you need to come up with two other equations to substitute in.

C = 6 + A Since there are six more fifth graders than third graders.

A = B Since there is an equal amount of third and fourth graders.

Since A is in both equations, lets put each variable in terms of A.

B = A

C = 6 + A

So: A+A+A+6=33

A+A+A=27 Since you subtract six from both sides.

3A=27 Since you combine all three A's.

A=9 Since you divide both sides by three.

Therefore, since A is the number of third graders, there are 9 third graders.

Explanation:

User Nazarii Moshenskyi
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6.8k points
4 votes
33-6= 27
27 divide by 2 will be 13.5.
so the answer is 13.5
User Avishek
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6.2k points