Ans: (a) $35$ (b) No
- The required number of badge
$\begin{array}{cl}
= & 50 \times (1-30\%) \\
= & 35
\end{array}$ - Let $x$ be the number of badge that Mary gives to Tom, where $x$ is a non-negative integer. For they have the same number of badges,
$\begin{array}{rcl}
50 – x & = & 35 + x \\
2x & = & 15 \\
x & = & 7.5
\end{array}$However, $x$ must be a non-negative integer. Therefore, they will not have the same number of badges.
