The Gauss Candy Company has 8362 lollipops to package. They place exactly 12 lollipops in each package. How many lollipops remain after the maximum possible number of packages are filled?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

Part B: Each correct answer is worth 6.
Solution 1

When we divide 8362 by 12, we obtain

$$
\begin{array}{r}
696 \\
\\
\frac{72}{116} \\
\frac{108}{82} \\
\\
\frac{72}{10}
\end{array}
$$

so $\frac{8362}{12}=696 \frac{10}{12}$. In other words, 8362 lollipops make up 696 complete packages leaving 10 lollipops left over.

## Solution 2

When we divide 8362 by 12 , we obtain approximately 696.83 , so the maximum possible number of packages which can be filled is 696 .

In total, 696 packages contain 8352 lollipops, leaving 10 remaining from the initial 8362 lollipops.

ANSWER: (E)