Question

Can you guess how many quarters TJ and Demi have in their pockets? And one Demi has nine more quarters than tj. And two if you double the number of quarters TJ has and triple the number of quarters then he has you would get 112 quarters in total. How many quarters does TJ have?​

Answer 1

TJ has 17 quarters.

Explanation:

Let d and t equal the numbers of quarters Demi and TJ have, respectively.

"Demi has nine more quarters than TJ."

d = t + 9

"if you double the number of quarters TJ has and triple the number of quarters then he has you would get 112 quarters in total"

I think that "then he" above really should read "Demi."

2t + 3d = 112

d = t + 9

2t + 3d = 112

2t + 3(t + 9) = 112

2t + 3t + 27 = 112

5t = 85

t = 17

Answer: TJ has 17 quarters.

Answer 2

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