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WITCHER [35]
2 years ago
14

Perry's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and

7 child tickets for a total of $57. The school took in $63 on the second day by selling 7 adult tickets and 14 child tickets. What is the price of one adult ticket and one child ticket?
Mathematics
2 answers:
WITCHER [35]2 years ago
8 0

Answer:

both cost 3 dollars

Step-by-step explanation:

x=adult ticket

y=child ticket

12x+7y=57

7x+14y=63

24x+14y=114

-7x-14y=-63

17x=51

x=3

7(3)+14y=63

21+14y=63

14y=42

y=3

Olin [163]2 years ago
6 0

Answer:

$6

Step-by-step explanation:

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This is a System Of Equations and I'd like it to get solved by the Elimination or Substitution Method.x+2y=83x+5y=8
Sonbull [250]

Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83    &    x + 5y = 8

Solve for x.

x = 83 - 2y     &    x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

Isolate all variables to one side:

83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y   Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

  x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

(x - x) + (2y - 5y) = (83 - 8)

Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

8 0
2 years ago
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