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21 June, 16:32

Liam's is planning a banquet for his parents anniversary with a budget of $3,375 at a hotel ballroom. The venue can hold no more than 125 guests. The cost per adult is $45 and the cost per child is $15. What is the possible number of guests that could attend the banquet within the budget?

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  1. 21 June, 18:29
    0
    50 adults could attend, along with 75 children, for $3,375.

    Step-by-step explanation:

    Let a represent the number of adult attendees and c the number of children.

    Then a + c = 125, and

    ($45/adult) a + ($15/child) c = $3,375.

    Let's solve this using the elimination method (adding and subtracting):

    Multiplying the first equation by - 45 results in - 45a - 45c = - 5625:

    Then we have

    45a + 15c = 3375

    -45a - 45c = - 5625

    and combining these two equations results in the single equation

    -30c = - 2250. This is easily solved for c: c = 75.

    Since we already have a formula for a, we can find a given that c = 75:

    a = 125 - 75 = 50

    50 adults could attend, along with 75 children, for $3,375.
  2. 21 June, 19:45
    0
    With 3375 being there budget they can have 125 people their maximum amount by have 50 adults and 75 kids
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