Answer:
Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.
[tex]x=\frac{13}{6}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.
Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]
Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]
Therefore,
[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]
