SOLUTION: 1500 theater tickets were sold for a performance. Genaeral admission was $12 but student rates offered a 50% discount.Box office recepits totaled $16,200. How many students attende
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Question 164020: 1500 theater tickets were sold for a performance. Genaeral admission was $12 but student rates offered a 50% discount.Box office recepits totaled $16,200. How many students attended? please show work thanks Answer by alicealc(293) (Show Source):
You can put this solution on YOUR website! Let:
number of students = x
number of non-students = y
the students got 50% discount, so the price for the students will be:
(100 - 50)/100 * $12 = $6
so the linear equation system is:
x + y = 1500
6x + 12y = 16200
use the elimination process, multiply the first equation by 6, then we get:
6x + 6y = 9000
6x + 12y = 16200 -
-------------------
-6y = -7200
y = 7200/6 = 1200
substitute the value of y to the first equation:
x + y = 1500
<=> x = 1500 - 1200 = 300
so there are 300 students attended the show.
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