Each baseball in a baseball league has 14 players. A total of 56 players signed up to play. If t represents the number of teams in the league, which statement is true?
A. Since 56 - 14 = t, there are 42 teams in the league.
B. Since 14 + 56 = t, there are 70 teams in the league.
C. Since 14t = 56 there are 4 teams in the league.
D. Since 14 = 56 / t, there are 8 teams in the league.
To solve this problem, we can use the information given.
We know that each baseball team has 14 players, and a total of 56 players signed up to play.
Therefore, we need to find the number of teams in the league, which can be represented by the variable t.
The correct statement can be found by evaluating the given options:
A. Since 56 - 14 = t, there are 42 teams in the league.
This statement is incorrect because subtracting 14 from 56 would give us the number of players, not the number of teams.
B. Since 14 + 56 = t, there are 70 teams in the league.
This statement is incorrect because adding 14 and 56 would again give us the number of players, not the number of teams.
C. Since 14t = 56, there are 4 teams in the league.
This statement is correct. By dividing 56 by 14, we find that t = 4, which represents the number of teams in the league.
D. Since 14 = 56 / t, there are 8 teams in the league.
This statement is incorrect because dividing 14 by 56 would give us a fraction, not a whole number, which does not represent the number of teams in the league.
Therefore, the correct statement is: "Since 14t = 56, there are 4 teams in the league." Option C is true.