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Sagot :
Step 1
Given;
[tex]2\text{ cups of cranberry juice - 3 gallons of punch}[/tex]Required; To find the amount of cranberry juice required for 1 gallon of punch juice.
Step 2
So basically, you can set this up in proportion.
For every gallon of punch, 2 cups of cranberry juice is needed. What you need to find is the amount of cranberry juice is needed for one gallon. So then you would have to set up your proportion like this:
[tex]\begin{gathered} \frac{2\text{ cups of cranberry juice}}{\text{3 gallons of punch}}=\frac{x\text{ cups of cranberry juice}}{1\text{ gallon of punch}} \\ or \\ \frac{2}{3}=\frac{x}{1} \end{gathered}[/tex]We will now find the value of x by cross multiplying
[tex]\begin{gathered} 2\times1=3\times x \\ 2=3x \\ \frac{3x}{3}=\frac{2}{3} \\ x=\frac{2}{3} \end{gathered}[/tex]So you will need 2/3 cups of cranberry juice for 1 gallon of punch
Answer;
[tex]\frac{2}{3}\text{ cups of cranberry juice}[/tex]Step 3
2) The elevator rises 480ft in 30 seconds
One minute=60 seconds.
Therefore, we will have;
[tex]\begin{gathered} \frac{480ft}{\text{xft}}=\frac{30\sec onds}{1\text{ minute}} \\ 1\text{ minute=60 seconds} \\ \frac{480ft}{\text{xft}}=\frac{30\sec onds}{60\text{ seconds}} \\ or \\ \frac{480}{x}=\frac{30}{60} \\ \frac{480}{x}=\frac{1}{2} \\ \end{gathered}[/tex][tex]\begin{gathered} x=480\times2 \\ x=960ft\text{ per second} \end{gathered}[/tex]
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