Question

A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 5 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza.

Answer 1

45 guests

Step-by-step 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

`\begin{gathered} 15=(1)/(3)* y \\ 15\text{ = }(y)/(3) \end{gathered}`
`\begin{gathered} \text{cross multiply:} \\ 15\text{ }*\text{ 3 = y} \\ y\text{ = 45} \end{gathered}`

Hence, the pizzas will serve 45 guests