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. Write an expression that represents this situation. How many party guests will the pizzas serve?



Answer :

3 x 5 pizzas = 15 pizzas
1/3 of pizzas  x  people  =  15 pizzas
people  = 15 pizzas / (1/3)  =  45

Answer: There are  45 party guests who will be served pizzas.

Step-by-step explanation:

Since we have given that

Number of pizzas usually prepare by the caterer = 5

Part of pizza will eat by each party guest is given by

[tex]\frac{1}{3}[/tex]

As we have given that a caterer prepares 3 times as many pizzas as she usually prepares for a large party,

So, it becomes

[tex]\text{Number of pizzas prepare by carterer this time}=5\times 3=15\\[/tex]

Let the number of party guests be x

According to question, it becomes,

Number of party guests will get the pizza serve is given by

[tex]\frac{1}{3}\times x=15\\\\x=15\times 3\\\\x=45[/tex]

Hence, there are  45 party guests who will be served pizzas.