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

28 boxes

Step-by-step 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:

`(x+8)/(2)=18`

We then solve for x.

`\begin{gathered} x+8=18*2 \\ x+8=36 \\ x=36-8 \\ x=28 \end{gathered}`

Therefore, Darryl started with 28 boxes.