Answer: TJ has 17 quarters and Demi has 26 quarters.
Explanation:
Let t be the number of quarters TJ has and d be the number of quarters Demi has.
First, we will write an equation based on the first detail given:
d = t + 9
Next, we will write an equation based on the second detail given:
2t + 3d = 112
Now, we will substitute the first equation into the second and solve for t.
2t + 3d = 112
2t + 3(t + 9) = 112
2t + 3t + 27 = 112
5t + 27 = 112
5t = 85
t = 17 quarters
Lastly, we know that Demi has 9 more quarters than TJ. We will add 9.
17 quarters + 9 quarters = 26 quarters