Answer:
There are 210 students who run track and 98 students who play baseball.
Step-by-step explanation:
It is important to approach the question this way; the students who play the two sports are grouped.
Let X be the number of groups. So that, from the question, we can deduce that;
There are 15 students in one group of those who run track and there are 7 students in each group of those who play baseball.
Total number of students who run track = 15 × X = 15X
Total number of students who play baseball = 7 × X = 7X
Now, the difference in the two total numbers is 112 as given in the question, so we can write that;
15X - 7X = 112
8X = 112
X = [tex]\frac{112}{8}[/tex] = 14
So,
Total number of students who run track = 15 × X = 15 × 14 = 210
Total number of students who play baseball = 7 × X = 7 × 14 = 98
There are 210 students who run track and 98 students who play baseball
