Getting stumped on this word problem. It is in the section of GCF. It says, "there are 14 baseball teams in the American League and 16 teams in the National League. There are 30 National Hocky League teams. If equal groups of teams are formed, how many hocky teams will be in each group?" The answer choices are a. 3 hocky teams, b. 8 hocky teams, c. 7 hocky teams, or d. 15 hocky teams. When I do the GCF I get 2. Not sure what to do from here. Would that mean 2 equal groups and then since there are 30 hocky teams the answer would be 15? Not sure that I'm looking at this correctly. Thanks.
you have it exactly.
To solve this problem, you want to find the greatest common factor (GCF) between the number of baseball teams and the number of hockey teams. The GCF represents the largest number that can divide both 14 and 30 without leaving a remainder.
To find the GCF, you can list out the factors of each number and look for the largest common factor.
The factors of 14 are: 1, 2, 7, 14.
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
From this list, you can see that the largest number that can divide both 14 and 30 is 2. So the GCF is 2.
Now that you have the GCF of 2, you can divide the total number of hockey teams (30) by 2 to find out how many hockey teams will be in each group.
30 ÷ 2 = 15
Therefore, the correct answer is d. 15 hockey teams will be in each group.