SOLUTION: A movie theater charges $4 for an adult ticket and 2$ for a child's ticket. one night 380 tickets were sold for a total of $1320. How many children attended the movie that night?

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Question 120560: A movie theater charges $4 for an adult ticket and 2$ for a child's ticket. one night 380 tickets were sold for a total of $1320. How many children attended the movie that night?
I am soooooo confused could someone please help me?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the number of adult tickets, A, and the number of children's tickets, C.
What do you know?
1.A%2BC=380 The total number of tickets sold was 380.
2.4A%2B2C=1320 The total value of adult tickets ($4xA) children's tickets ($2xC) was $1320.
Use equation 1 to solve for A in terms of C.
1.A%2BC=380
A=380-C
Now substitute for A in equation 2 and solve for C.
2.4A%2B2C=1320
4%28380-C%29%2B2C=1320
1520-4C%2B2C=1320
-2C=-200
C=100
From 1,
A=380-C
A=380-100
A=280
Check your answers.
1.A%2BC=380
280%2B100=380
380=380
True statement.
2.4A%2B2C=1320
4%28280%29%2B2%28100%29=1320
1120%2B200=1320
1320=1320
True statement.
Since your answers led to true statement, they are good answers.
280 Adult tickets sold and 100 children's tickets sold.