Jessica is selling girl scout cookies and recorded how many she sold in one afternoon.She sold Thin mints, Trefoils, and Samosas.b) If 60% of the cookies sold were Thin Mints and 10% of the cookies sold were Samoas, how many boxes of Trefoils did she sell? (3 points - 2 pts for correct answer, 1 pt for showing work) I Type your answer in the green box > >>

Jessica is selling girl scout cookies and recorded how many she sold in one afternoonShe sold Thin mints Trefoils and Samosasb If 60 of the cookies sold were Th class=

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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.

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