7. Emma is planning a surprise party. She is considering using one of two venues. The banquet hall of hotel A will cost $862 for a reservation, plus $76 per dinner. The banquet hall of hotel B will cost $75 per dinner, in addition to $894 for the reservation. In order to make the best decision, Emma figures out how many guests it would take to have the venues cost the same amount. What would the total cost be? How many guests would that be?

Question

Mathematics

Winston Gallegos

1 January, 14:19

7. Emma is planning a surprise party. She is considering using one of two venues. The banquet hall of hotel A will cost $862 for a reservation, plus $76 per dinner. The banquet hall of hotel B will cost $75 per dinner, in addition to $894 for the reservation. In order to make the best decision, Emma figures out how many guests it would take to have the venues cost the same amount. What would the total cost be? How many guests would that be?

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Lara Baldwin · Answer 1

862+76x=894+75x

x=894-862

x=32

C=862+76*32=$3294

The same amount would be with 32 guests.

The total cost would be $3294. That cost for the 32 guests.