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12 July, 12:05

Emma is planning a surprise party. She is considering using one of two venues. The banquet of hall A will cost $862 fot a reservation, plus $76 per dinner. The banquet of hall 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 will take to have the venues cost the same amount? What woyld the total cost be? How many guest would it be?

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  1. 12 July, 12:55
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    Ok for this problem, there are 2 equations representing hall A and hall B

    hall A: y=76x+862 where x=number of dinners and y=total cost

    hall B: y=75x+894 for the same variables

    To find where the 2 meet, simply substitute one equation into the other, creating: 76x+862=75x+894

    Solving this, we find that x=32, so at 32 guests, the cost would be the same

    For part 2, put the answer for part 1 into either equation from the start, so y=76 (32) + 862, or y=3294

    And we already found that x=32, which represents the # of guests
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