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.

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

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.
 
 
 
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

anonymous · Answer

system of equation is

x+y=20
18x+12y=324

anonymous · Answer

@sissyedgar

anonymous · Answer

ANSWER

anonymous · Answer

HELLO

4everaddicted2anime · Answer

Isolate the x in the top equation

anonymous · Answer

I DONT GET THIS AT ALLL

sissyedgar · Answer

The answer would be D...
14 (adults) multiplied by 18 (price for adults) equals 252!
6 (children) multiplied by 12 (price for children) equals 72!
252 + 72 = 324
ღ

4everaddicted2anime · Answer

Okay. The top equation is the simplest so it would be best to work with that first. The equation is x+y=20. To isolate the x you need to move everything from the left to the right, not including x. To do this you must subtract y from both sides to get x=20-y. From here you plug that into the second equation to get your y coordinate