Answer:
Equation is
where
denotes number of cups of orange juice needed by Sam.
![x=\frac{13}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B6%7D)
Step-by-step explanation:
Let
denotes number of cups of orange juice needed by Sam.
Number of cups needed to make punch ![=7\frac{1}{2} =\frac{15}{2}](https://tex.z-dn.net/?f=%3D7%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B15%7D%7B2%7D)
Number of cups with Sam ![=5\frac{1}{3}=\frac{16}{3}](https://tex.z-dn.net/?f=%3D5%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B16%7D%7B3%7D)
Therefore,
![x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B16%7D%7B3%7D%3D%5Cfrac%7B15%7D%7B2%7D%5C%5C%5C%5Cx%3D%20%20%5Cfrac%7B15%7D%7B2%7D-%5Cfrac%7B16%7D%7B3%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B45-32%7D%7B6%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B13%7D%7B6%7D)
Answer:
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Step-by-step explanation:
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