# Maria bought seven boxes. a week later half of all her boxes were destroyed in a fire. there are...

## Question:

Maria bought seven boxes. a week later half of all her boxes were destroyed in a fire. there are now only 22 boxes left. with how many did she start with?

## Fractions

The equation that needs to be solved will have a fraction term. It's important to know that 7 new boxes were also bought before the fire. The half of the boxes that got destroyed also contained these new boxes.

Let the number of boxes before the fire be x. After half of the x boxes were destroyed, 22 were left. This means that half of x is 22.

\begin{align} \Rightarrow \frac12*x&=22\\ x&=22*2\\x&=44 \end{align}

Out of these 44 boxes, 7 were new. Maria actually had 44-7=37 boxes at the start.