Question

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

Answer 1

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