Tickets to the movie
Algebra
Level
2
Tickets to "We didn't lose the game; we just ran out of time", a brand new movie, cost $3.50 for adults and $1 for children. If 38 people attended and the theater sold $110.50 in total, how many adults and how many children attended?
8, 30
37, 1
29, 9
15, 23
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1 solution
$3.50 for adults
$1 for children
$110.50 total
x= # adults
y= # children
So now set up a system of equations x+y=38 and under it goes 3.5x+y=110.5
and the easiest way to do it from there is put it vertical
3.5x + y = 110.5
x + y = 38
equals
2.5x+0=72.5
and drop the 0 since we don't need it, leaving us with this:
2.5x=72.5
and then divide both sides by 2.5.
2 . 5 2 . 5 x 2 . 5 7 2 . 5
and then the left side equals x, and the right equals 29. so 29 is the number of adults. So now, how many children? well, remember the whole number is 38, and 29 adults. 38-29=9, so 9 children.