Answered

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

Verified Answer :

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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