Three-member 8005

There were a total of 50 teams in the competition. Eight teams were four-member, the rest three-member and two-member. How many teams were three-member when 134 people took part in the competition?

Correct answer:

b =  18

Step-by-step explanation:


a+b+8=50
134 = 2a+3b+8·4

a+b+8=50
134 = 2·a+3·b+8·4

a+b = 42
2a+3b = 102

Pivot: Row 1 ↔ Row 2
2a+3b = 102
a+b = 42

Row 2 - 1/2 · Row 1 → Row 2
2a+3b = 102
-0.5b = -9


b = -9/-0.5 = 18
a = 102-3b/2 = 102-3 · 18/2 = 24

a = 24
b = 18

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: