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Help please. Catching up on missed work from being out due to medical issues. Thank you in advance!

Help please. Catching up on missed work from being out due to medical issues. Thank-example-1
User Ranvel
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1 Answer

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Let B be the number of cups of boiling water that we should mix with I cups of ice to get 3 cups of 110°F water.

Therefore, we can set the following equation:


\begin{gathered} B+I=3, \\ 220B+32I=110\cdot3. \end{gathered}

Subtracting B from the first equation we get:


\begin{gathered} B+I-B=3-B, \\ I=3-B\text{.} \end{gathered}

Substituting the above equation in the second one we get:


220B+32(3-B)=330.

Simplifying the above result we get:


\begin{gathered} 220B+96-32B=330, \\ 188B+96=330. \end{gathered}

Subtracting 96 to the above equation we get:


\begin{gathered} 188B+96-96=330-96, \\ 188B=234. \end{gathered}

Dividing the above equation by 188 we get:


\begin{gathered} (188B)/(188)=(234)/(188), \\ B\approx1.24. \end{gathered}

Substituting B=1.24 at I=3-B we get:


I=3-1.24=1.76.

Answer:


\begin{gathered} 1.26\text{ cups of boiling water.} \\ 1.74\text{ cups of ice.} \end{gathered}

User Frayser
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