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. First write an expression that represents this situation. How many party guests will the pizza serve?
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3*5 = 1/3 * x
jaylans math
To write an expression that represents this situation, we can use the information given.
The caterer usually prepares 5 pizzas for a large party. The caterer is now preparing three times as many pizzas as usual.
Therefore, the expression that represents this situation is:
Number of pizzas prepared = 5 pizzas
Number of pizzas for the current party = 3 * 5 = 15 pizzas
Now, to find out how many party guests the pizzas will serve, we need to use the information that each party guest will eat 1/3 of a pizza.
Let's assume there are "x" party guests.
Number of pizzas required for "x" party guests = Number of guests * Fraction of pizza per guest
Number of pizzas required = x * (1/3)
To calculate the number of party guests the pizzas will serve, we need to divide the number of pizzas prepared for the party by the fraction of pizza each guest will eat:
Number of party guests = Number of pizzas prepared / Fraction of pizza per guest
Substituting the values:
Number of party guests = 15 pizzas / (1/3)
To divide by a fraction, we can multiply by its reciprocal:
Number of party guests = 15 pizzas * (3/1)
Number of party guests = 45 guests.
Therefore, the pizzas will serve 45 party guests.