45 guests
Explanation:Amountof pizza prepared = 3 times the usual amount
Initial amount of pizza the caterer usually makes = 5
Amount of pizza prepared now = 3 (5)
Amount of pizza prepared now = 15 pizzas
Amount consumed per guest = 1/3 of a pizza
let the number guest that 15 pizzas will feed = y
Amount of pizza available = Amount consumed per guest × number of guest
[tex]\begin{gathered} 15=\frac{1}{3}\times y \\ 15\text{ = }\frac{y}{3} \end{gathered}[/tex][tex]\begin{gathered} \text{cross multiply:} \\ 15\text{ }\times\text{ 3 = y} \\ y\text{ = 45} \end{gathered}[/tex]Hence, the pizzas will serve 45 guests
