Question

At the first stop on his route, a driver unloaded $\frac{2}{5}$ of the packages in his van. After he unloaded another $3$ packages, at his next step $\frac{1}{2}$ of the original number of packages remained. How many packages were in the van before the first delivery?

• A. $25$
• B. $10$
• C. $30$
• D. $36$

Answer 1

Answer: (C)

$30$

Let $x$ be the original number of packages in the van.

Then $\frac{x}{2}\left(totalunloadedpackages\right)=\frac{2x}{5}\left(unloadedpackagesatfirststep\right)+3$

$\Rightarrow \frac{5x-4x}{10}=3$

$\Rightarrow x=30$