Manhattan Lb (Word Problems)

Hi, for this question, shouldn’t the bonus amount for each additional ticket beyond 100 be 13?
Basically, 11x + 13 (x-100) = 2400

let total number of ticket be : t,
So, for first 100 ticket he will earn : 11 \times 100 = 1100
Now, for the remaining ticket he will earn : (t-100) \times 13 = 13t -1300

From the question we know that total amount that he was paid was : \$2,400

Thus, our equation becomes:

1100+13t-1300 = 2400 \\ 13t-200 = 2400 \\ 13t = 2400+200 \\ t = \frac{2600}{13} \text{ or } 200
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Also , you will not do 11x as you already know from the question that we sold 100 ticket at that price