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13 October, 07:47

Tickets to the museum cost $18 for adults and $12 for children. A group of 20 people went to the museum, and the tickets cost $324. The system of equations models this situation, where x is the number of adults and y is the number of children.

x+y=20

18x+12y=324

How many adults and how many children were in the group?

A.

8 adults and 12 children

B.

10 adults and 10 children

C.

12 adults and 8 children

D.

14 adults and 6 children

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Answers (1)
  1. 13 October, 08:12
    0
    X = adults

    y=children

    x+y=20

    x=20-y

    18x+12y=324

    18 (20-y) + 12y=324

    360-18y+12y=324

    -6y=324-360

    -6y=-36

    y=-36/-6

    y=6

    x=20-y

    x=20-6

    x=14

    14 adults and 6 children
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