Jessica sold Thin mints, Trefoils, and Samoas.
Part a)
She sold 54 boxes of Thin mints, which was 60% of the total number she sold.
How many total boxes did she sell?
Let x be the total boxes she sold, then we can write
[tex]\begin{gathered} 60\%\: \: of\: \: x=54 \\ \frac{60}{100}\times x=54 \\ 0.6\times x=54 \\ x=\frac{54}{0.6} \\ x=90 \end{gathered}[/tex]
Therefore, she sold a total of 90 boxes.
Part b)
If 60% of the cookies sold were Thin Mints and 10% of the cookies sold were Samoas
Then it means that 30% of the cookies sold were Trefoils.
[tex]100\%-60\%-10\%=30\%[/tex]
Since we already know that there were a total of 90 boxes sold, we can find 30% of it which would represent the Trefoils.
[tex]\begin{gathered} 30\%\: \: of\: \: 90 \\ \frac{30}{100}\times90 \\ 0.30\times90 \\ 27 \end{gathered}[/tex]
Therefore, she sold 27 boxes of Trefoils.