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Kamila [148]
3 years ago
7

Tickets to a musical cost $30 for adults and $12 for children. At one particular performance 960 people attended and $19 080 was

collected in ticket sales. Find the number of adults and the number of children who attended the performance.
Mathematics
2 answers:
postnew [5]3 years ago
7 0
In order to solve this, you have to set up a systems of linear equations.

Let's say that children = c and adults = a

30a + 12c = 19,080
a + c = 960

I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.

   a + c = 960 
       - c    -    c
 ---------------------- ⇒ Step 1: Solve for either a or c in either equation.
   a = 960 - c 



20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
   19,200 - 8c = 19,080
 - 19,200         - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
         8c = -120                    into the opposite equation.                                                
       ------  ---------
          8         8
 
         c = -15



30a + 12(-15) = 19,080
   30a - 180 = 19,080
          + 180  +     180
 -------------------------------
   30a = 19,260
  -------   -----------
    30          30
     
       a = 642
__________________________________________________________

I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong. 


monash2 years ago
0 0

$30x+$12y=$19080
x+y=960
y=960-x
30*x+12*960-x=$19080
30x-12x=-7560
-18x=-7560
x=-7560/-18
x=420
therefore there are 420 children
960-420=540
and there are 540 adults

monash
2 years ago
bitch im so smart
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The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (

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To find the circumference of the circle, we need to know the diameter.

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