2024 AMC 10A Problems/Problem 19

The test isn't available yet, but here is a puzzle for you.

A bus left from the Scarlet Devil Mansion; $3$ people boarded at the start. At Hakugyokurou, $1$ person got off and $frac{1}{2}$ a person boarded. At Yukari's house, $1$ person left the bus. How many people are on the bus at the end?

$\mathrm{(A) \ } 0 \qquad \mathrm{(B) \ } 1 \qquad \mathrm{(C) \ } \frac{3}{2}\qquad \mathrm{(D) \ } 2 \qquad \mathrm{(E) \ } 9$

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2024 AMC 10A Problems/Problem 19