Team player distribution

There are 103 players. Team A has three players less than B, team C has two more than D, and team D has the same number as B. How many players does each team have?

Final Answer:

a =  23
b =  26
c =  28
d =  26

Step-by-step explanation:


a+b+c+d = 103
a = b-3
c = 2 +d
d = b

a+b+c+d = 103
a-b = -3
c-d = 2
b-d = 0

Row 2 - Row 1 → Row 2
a+b+c+d = 103
-2b-c-d = -106
c-d = 2
b-d = 0

Row 4 - 1/-2 · Row 2 → Row 4
a+b+c+d = 103
-2b-c-d = -106
c-d = 2
-0.5c-1.5d = -53

Row 4 - -0.5 · Row 3 → Row 4
a+b+c+d = 103
-2b-c-d = -106
c-d = 2
-2d = -52


d = -52/-2 = 26
c = 2+d = 2+26 = 28
b = -106+c+d/-2 = -106+28+26/-2 = 26
a = 103-b-c-d = 103-26-28-26 = 23

a = 23
b = 26
c = 28
d = 26

Our linear equations calculator calculates it.

Try another example


Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Do you have a system of equations and are looking for calculator system of linear equations?

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

algebranumbersGrade of the word problem

Related math problems and questions: