There were 37 student tickets and 52 adult tickets
Step-by-step explanation:
Let x be the number of student tickets and y be the adult tickets
Then
According to given statement that total 89 tickets were sold
x+y=89 Eqn 1
And
$5 for an adult ticket and $3 for student ticket ,and total cost $371
3x+5y=371 Eqn 2
From eqn 1
![x=89-y](https://tex.z-dn.net/?f=x%3D89-y)
Putting in eqn 2
![3(89-y)+5y=371\\267-3y+5y=371\\267+2y=371](https://tex.z-dn.net/?f=3%2889-y%29%2B5y%3D371%5C%5C267-3y%2B5y%3D371%5C%5C267%2B2y%3D371)
Subtracting 267 from both sides
![267+2y-267=371-267\\2y=104](https://tex.z-dn.net/?f=267%2B2y-267%3D371-267%5C%5C2y%3D104)
Dividing both sides by 2
![\frac{2y}{2}=\frac{104}{2}\\y=52](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B104%7D%7B2%7D%5C%5Cy%3D52)
Putting y=52 in eqn 1
![x+52=89\\x=89-52\\x=37](https://tex.z-dn.net/?f=x%2B52%3D89%5C%5Cx%3D89-52%5C%5Cx%3D37)
Hence,
There were 37 student tickets and 52 adult tickets
Keywords: Linear Equation, Variable
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Answer:
x = (y +2)/3
Step-by-step explanation:
y= 3x-2
y+2=3x
x=(y +2)/3
Answer:
The answer is 10
Step-by-step explanation:
8<em> times (</em> 2<em> plus</em> 1 ) = 24