Emily sold 78 boxes of cookies for a fundraiser. If she sold 40% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
Answer:
195.
Step-by-step explanation:
Let x represent the total number of boxes of cookies sold.
We have been given that Emily sold 40% of the total number of boxes sold for the fundraiser.
The number of boxes sold for fundraiser would be \(\frac{40}{100}x=0.40x\).
Since 78 boxes of cookies were sold for the fundraiser, so we can represent this information in an equation as:
\(0.40x=78\)
\(\frac{0.40x}{0.40}=\frac{78}{0.40}\)
\(x=195\)
Therefore, 195 boxes were sold in total.