Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was
collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children’s tickets that were sold.
1 answer:
Answer:
74 adult tickets and 106 children tickets
Step-by-step explanation:
let x be the number of adults tickets sold out
and y the number of chlidrens tickets that sold out for the 7:15 pm show
The equations that determine our problem are
x+y=180
12.50x+8.50y=1826
lets separate x from first equation x=180-y and replace at the second equation
12.50(180-y)+8.50y=1826
12.50*180-12.50y+8.50y=1826
2250-4y=1826
4y=2250-1826
y=424/4=106
so x=180-y=180-106=74
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