Brenda is preparing food for a holiday party. For every guest, she prepared one plate of spaghetti. For every three guest she prepared one plate of cookies. Brenda prepared a total of 96 plates. How many guest did Brenda prepare food for?

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Answer 1 · 2016-12-17T20:08:27

There are 72 guests.

Lets say that x is the number of plates of spaghetti. So if one plate of spaghetti for every guest, there are x guests.

#x=#plates of spaghetti and number of guests

#x/3=#plates of cookies

#x+x/3=96#

#(3x)/3+x/3=96#

#(4x)/3=96#

#4x=96xx3=288#

#4x=288#

#x=72#