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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?

Verified Answer :

mailieng33

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

\(\frac{1}{3}\)

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

So, it becomes

\(\text{Number of pizzas prepare by carterer this time}=5\times 3=15\\\)

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

\(\frac{1}{3}\times x=15\\\\x=15\times 3\\\\x=45\)

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

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