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.

Answer and Explanation:


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.


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