Question

Darryl bought eight boxes. A week later half of all his boxes weredestroyed in a fire. There are now only 18 boxes left. How manyboxes did he start with?Darryl started withboxes.

Answer 1

Answer:

28 boxes

Explanation:

Let the number of boxes that Darryl started with = x

He bought 8 boxes, therefore he now has: (x+8) boxes

If half of all his boxes were destroyed in a fire, it means he was left with half of all his boxes.

Since there are now only 18 boxes left:

$\frac{x+8}{2}=18$

We then solve for x.

$\begin{gathered} x+8=18\times2 \\ x+8=36 \\ x=36-8 \\ x=28 \end{gathered}$

Therefore, Darryl started with 28 boxes.