Word Problem

Question

A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division costs $180 per team. How many teams will play in each division?

Answer 1

As Arthur D. noted above, if we are to assume that an equal amount of teams will play in each division:

 

Let x = the number of teams in each division (Notice we use only one variable here because it is the same numerical value, and the problem is otherwise impossible to solve with the information given.)

 

Then create the proper equation and solve for x.

 

160x + 180x = 2040 (next add the coefficients)

340x = 2040 (and divide both sides by the coefficient 340)

x = 6 (this is our final answer)

 

Six (6) teams will play in each division.

 

Answer 2

B = number of Blue Division teams

R = number of Red Division teams

 

160B + 180R = 2040.

 

With two variables, B and R, we need another equation.

 

What additional information is given? Total number of teams?

Answer 3

Assuming both divisions have the same number of teams...

$160+$180=$340

$2040/$340=6 teams in each division