The local community college theater put on a production of chicago. There were 186 tickets sold, some for $16 (nonstudent price) and others for $12 (student price). If the receipts for one performance totaled $2640, how many of each type of ticket were sold?
2007-10-05 04:40:26 · 6 answers · asked by LeXy 3 in Science & Mathematics ➔ Mathematics
x = # of non-student tickets
y = # of student tickets
x + y = 186
y = 186 - x
16x + 12y = 2640
16x + 12(186 - x) = 2640
16x + 2232 - 12x = 2640
4x = 408
=> x = 102
y = 186 - x
y = 186 - 102
=> y = 84
2007-10-05 04:48:02 · answer #1 · answered by The Monkey's Paw 2 · 2⤊ 1⤋
Let the number of $16 tickets be 'x' and then the number of $12 tickets will be (186-x){because the total number of tickets sold is 186.
Money collected from $16 tickets will be $16x
Money colllected from $12 tickets will be $12(186-x)
Now, the money collected is $2640.So,
$2640 = $ 16x +$12 (186-x)
$2640 = $ 16x + $2232 - $12x
$2640 = $ 4x + $2232
$2640 - $2232 = $4x
$308 = $4x
$308/$4 = x
x = 77 = Number of $16 tickets sold.
186-x = 186 - 77 = 109 = Number of $12 tickets sold.
Yes i have found it.
Hope I get the 10 points!!!!
2007-10-05 12:39:26 · answer #2 · answered by firebolt sruti 2 · 1⤊ 0⤋
2 equations, one for the ticket count, one for the money, x for number of nonstudent tickets, y for student:
x + y = 186
16x + 12y = 2640
multiply 1st equation by 12 and subtract it from 2nd.
16x + 12y = 2640
12x + 12y = 2232
------------------------
4x .......... = 408
x = 102
y = 186 - 102 = 84
2007-10-05 11:48:31 · answer #3 · answered by Philo 7 · 2⤊ 1⤋
im confused
there can be many different ansers to this problem, right?
i dont know sorry
i think 82 students and 104 adults
2007-10-05 11:48:09 · answer #4 · answered by ♫♪Kaitlyn♪♫ 3 · 0⤊ 1⤋
How are you gonna give away 10 points for the RIGHT answer if YOU don't know what the answer is ????
2007-10-05 11:43:44 · answer #5 · answered by muchluv4pets 4 · 1⤊ 1⤋
x+y=186
16x+12y=2640
x=102
y=84
2007-10-05 11:45:43 · answer #6 · answered by pro 2 · 2⤊ 1⤋