hello
this is a simple algebraic question where we would use ratios to solve it
the chef intends to cook 5/6 pounds of pasta and plans to share it amongst x number of customers in ratio 1/12.
to find the number of customers, divide the quantity of the pasta by the ratio she intends to serve them with.
[tex]\begin{gathered} \text{number of customers }=\text{ }\frac{5}{6}\text{ / }\frac{1}{12} \\ \text{number of customers }=\text{ }\frac{5}{6}\times\frac{12}{1} \\ \text{number of customers }=\text{ }\frac{60}{6} \\ number\text{ of customers }=\text{ 10} \\ \end{gathered}[/tex]she's can serve a maximum of 10 customers.