To determine how many students are on the Math Team, we can use the concept of ratios and proportions.
The problem tells us that the ratio of the number of students in the Chess Club to the number of students on the Math Team is 3:7. This means that for every 3 students in the Chess Club, there are 7 students on the Math Team. We can represent this ratio as:
Chess Club : Math Team = 3 : 7
We also know there are 12 students in the Chess Club. If we let the number of students on the Math Team be x, then we can set up the following proportion based on equivalent ratios:
Chess Club students / Chess Club ratio = Math Team students / Math Team ratio
Substituting the known values, we have:
12 / 3 = x / 7
Now, to find x, we can cross-multiply and solve for x as follows:
12 × 7 = 3 × x
84 = 3x
To isolate x and solve for the number of students on the Math Team, we divide both sides of the equation by 3:
84 ÷ 3 = 3x ÷ 3
28 = x
So, there are 28 students on the Math Team.