Question

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?

Answer 1

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:

Answer 2

33-6= 27
27 divide by 2 will be 13.5.
so the answer is 13.5